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145231632 = 243271311083
BaseRepresentation
bin10001010100000…
…00111100010000
3101010021112100100
420222000330100
5244134403012
622224452400
73412306560
oct1052007420
9333245310
10145231632
1174a85747
124077a100
132411c6a0
1415406da0
15cb3b8dc
hex8a80f10

145231632 has 120 divisors (see below), whose sum is σ = 500287424. Its totient is φ = 38299392.

The previous prime is 145231631. The next prime is 145231633. The reversal of 145231632 is 236132541.

145231632 is a `hidden beast` number, since 1 + 4 + 5 + 23 + 1 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (145231631) and next prime (145231633).

It is a junction number, because it is equal to n+sod(n) for n = 145231596 and 145231605.

It is not an unprimeable number, because it can be changed into a prime (145231631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7563 + ... + 18645.

Almost surely, 2145231632 is an apocalyptic number.

145231632 is a gapful number since it is divisible by the number (12) 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 145231632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250143712).

145231632 is an abundant number, since it is smaller than the sum of its proper divisors (355055792).

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

145231632 is a wasteful number, since it uses less digits than its factorization.

145231632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11117 (or 11108 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 145231632 is about 12051.2087360563. The cubic root of 145231632 is about 525.6383853314.

Subtracting 145231632 from its reverse (236132541), we obtain a palindrome (90900909).

The spelling of 145231632 in words is "one hundred forty-five million, two hundred thirty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 11083 13104 22166 33249 44332 66498 77581 88664 99747 132996 144079 155162 177328 199494 232743 265992 288158 310324 398988 432237 465486 531984 576316 620648 698229 797976 864474 930972 1008553 1152632 1241296 1296711 1396458 1595952 1728948 1861944 2017106 2305264 2593422 2792916 3025659 3457896 3723888 4034212 5186844 5585832 6051318 6915792 8068424 9076977 10373688 11171664 12102636 16136848 18153954 20747376 24205272 36307908 48410544 72615816 145231632