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157861000 = 235311113127
BaseRepresentation
bin10010110100011…
…00010010001000
3102000001011120201
421122030102020
5310403023000
623355301544
73624540103
oct1132142210
9360034521
10157861000
1181121340
1244a4a8b4
1326921c9b
1416d7373a
15dcd396a
hex968c488

157861000 has 128 divisors (see below), whose sum is σ = 409743360. Its totient is φ = 56448000.

The previous prime is 157860973. The next prime is 157861003. The reversal of 157861000 is 168751.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 157861000.

It is not an unprimeable number, because it can be changed into a prime (157861003) 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, 1242937 + ... + 1243063.

It is an arithmetic number, because the mean of its divisors is an integer number (3201120).

Almost surely, 2157861000 is an apocalyptic number.

157861000 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 157861000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204871680).

157861000 is an abundant number, since it is smaller than the sum of its proper divisors (251882360).

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

157861000 is a wasteful number, since it uses less digits than its factorization.

157861000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 157861000 is about 12564.2747502592. The cubic root of 157861000 is about 540.4534371585.

The spelling of 157861000 in words is "one hundred fifty-seven million, eight hundred sixty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 113 125 127 200 220 226 250 254 275 440 452 500 508 550 565 635 904 1000 1016 1100 1130 1243 1270 1375 1397 2200 2260 2486 2540 2750 2794 2825 3175 4520 4972 5080 5500 5588 5650 6215 6350 6985 9944 11000 11176 11300 12430 12700 13970 14125 14351 15875 22600 24860 25400 27940 28250 28702 31075 31750 34925 49720 55880 56500 57404 62150 63500 69850 71755 113000 114808 124300 127000 139700 143510 155375 157861 174625 248600 279400 287020 310750 315722 349250 358775 574040 621500 631444 698500 717550 789305 1243000 1262888 1397000 1435100 1578610 1793875 2870200 3157220 3587750 3946525 6314440 7175500 7893050 14351000 15786100 19732625 31572200 39465250 78930500 157861000