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145457520 = 243513232027
BaseRepresentation
bin10001010101110…
…00000101110000
3101010201000012120
420222320011300
5244214120040
622233354240
73414240255
oct1052700560
9333630176
10145457520
117511a42a
1240868980
132419b450
141546542c
15cb837d0
hex8ab8170

145457520 has 160 divisors (see below), whose sum is σ = 506967552. Its totient is φ = 34231296.

The previous prime is 145457513. The next prime is 145457539. The reversal of 145457520 is 25754541.

It is a congruent number.

It is an unprimeable number.

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, 70747 + ... + 72773.

Almost surely, 2145457520 is an apocalyptic number.

145457520 is a gapful number since it is divisible by the number (10) 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 145457520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253483776).

145457520 is an abundant number, since it is smaller than the sum of its proper divisors (361510032).

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

145457520 is a wasteful number, since it uses less digits than its factorization.

145457520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 33.

The square root of 145457520 is about 12060.5771006200. The cubic root of 145457520 is about 525.9107637754.

The spelling of 145457520 in words is "one hundred forty-five million, four hundred fifty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 26 30 39 40 46 48 52 60 65 69 78 80 92 104 115 120 130 138 156 184 195 208 230 240 260 276 299 312 345 368 390 460 520 552 598 624 690 780 897 920 1040 1104 1196 1380 1495 1560 1794 1840 2027 2392 2760 2990 3120 3588 4054 4485 4784 5520 5980 6081 7176 8108 8970 10135 11960 12162 14352 16216 17940 20270 23920 24324 26351 30405 32432 35880 40540 46621 48648 52702 60810 71760 79053 81080 93242 97296 105404 121620 131755 139863 158106 162160 186484 210808 233105 243240 263510 279726 316212 372968 395265 421616 466210 486480 527020 559452 606073 632424 699315 745936 790530 932420 1054040 1118904 1212146 1264848 1398630 1581060 1818219 1864840 2108080 2237808 2424292 2797260 3030365 3162120 3636438 3729680 4848584 5594520 6060730 6324240 7272876 9091095 9697168 11189040 12121460 14545752 18182190 24242920 29091504 36364380 48485840 72728760 145457520