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145235376 = 243311132351
BaseRepresentation
bin10001010100000…
…01110110110000
3101010021201111000
420222001312300
5244140013001
622224522000
73412323516
oct1052016660
9333251430
10145235376
1174a88540
1240780300
13241212c0
14154084b6
15cb3ca86
hex8a81db0

145235376 has 160 divisors (see below), whose sum is σ = 489968640. Its totient is φ = 40608000.

The previous prime is 145235371. The next prime is 145235413. The reversal of 145235376 is 673532541.

145235376 is a `hidden beast` number, since 14 + 523 + 53 + 76 = 666.

It is a super-2 number, since 2×1452353762 = 42186628883722752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 145235376.

It is not an unprimeable number, because it can be changed into a prime (145235371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60601 + ... + 62951.

It is an arithmetic number, because the mean of its divisors is an integer number (3062304).

Almost surely, 2145235376 is an apocalyptic number.

145235376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145235376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244984320).

145235376 is an abundant number, since it is smaller than the sum of its proper divisors (344733264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145235376 is a wasteful number, since it uses less digits than its factorization.

145235376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2380 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 145235376 is about 12051.3640721704. The cubic root of 145235376 is about 525.6429021922.

The spelling of 145235376 in words is "one hundred forty-five million, two hundred thirty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 33 36 39 44 48 52 54 66 72 78 88 99 104 108 117 132 143 144 156 176 198 208 216 234 264 286 297 312 351 396 429 432 468 528 572 594 624 702 792 858 936 1144 1188 1287 1404 1584 1716 1872 2288 2351 2376 2574 2808 3432 3861 4702 4752 5148 5616 6864 7053 7722 9404 10296 14106 15444 18808 20592 21159 25861 28212 30563 30888 37616 42318 51722 56424 61126 61776 63477 77583 84636 91689 103444 112848 122252 126954 155166 169272 183378 206888 232749 244504 253908 275067 310332 336193 338544 366756 413776 465498 489008 507816 550134 620664 672386 698247 733512 825201 930996 1008579 1015632 1100268 1241328 1344772 1396494 1467024 1650402 1861992 2017158 2200536 2689544 2792988 3025737 3300804 3723984 4034316 4401072 5379088 5585976 6051474 6601608 8068632 9077211 11171952 12102948 13203216 16137264 18154422 24205896 36308844 48411792 72617688 145235376