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157932840 = 233513293491
BaseRepresentation
bin10010110100111…
…01110100101000
3102000011211010110
421122131310220
5310412322330
623401014320
73625256412
oct1132356450
9360154113
10157932840
118117030a
1244a843a0
13269488b0
1416d919b2
15dce9db0
hex969dd28

157932840 has 128 divisors (see below), whose sum is σ = 527990400. Its totient is φ = 37524480.

The previous prime is 157932829. The next prime is 157932847. The reversal of 157932840 is 48239751.

157932840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (157932847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43495 + ... + 46985.

It is an arithmetic number, because the mean of its divisors is an integer number (4124925).

Almost surely, 2157932840 is an apocalyptic number.

157932840 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 157932840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263995200).

157932840 is an abundant number, since it is smaller than the sum of its proper divisors (370057560).

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

157932840 is a wasteful number, since it uses less digits than its factorization.

157932840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3547 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 157932840 is about 12567.1333246688. The cubic root of 157932840 is about 540.5354086116.

The spelling of 157932840 in words is "one hundred fifty-seven million, nine hundred thirty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 29 30 39 40 52 58 60 65 78 87 104 116 120 130 145 156 174 195 232 260 290 312 348 377 390 435 520 580 696 754 780 870 1131 1160 1508 1560 1740 1885 2262 3016 3480 3491 3770 4524 5655 6982 7540 9048 10473 11310 13964 15080 17455 20946 22620 27928 34910 41892 45240 45383 52365 69820 83784 90766 101239 104730 136149 139640 181532 202478 209460 226915 272298 303717 363064 404956 418920 453830 506195 544596 607434 680745 809912 907660 1012390 1089192 1214868 1316107 1361490 1518585 1815320 2024780 2429736 2632214 2722980 3037170 3948321 4049560 5264428 5445960 6074340 6580535 7896642 10528856 12148680 13161070 15793284 19741605 26322140 31586568 39483210 52644280 78966420 157932840