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157703840 = 25571391013
BaseRepresentation
bin10010110011001…
…01111010100000
3101222202011222222
421121211322200
5310333010330
623352050212
73623313650
oct1131457240
9358664888
10157703840
1181024258
1244993968
13268985a8
1416d32360
15dca20e5
hex9665ea0

157703840 has 96 divisors (see below), whose sum is σ = 429287040. Its totient is φ = 53627904.

The previous prime is 157703839. The next prime is 157703867. The reversal of 157703840 is 48307751.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 157703840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155174 + ... + 156186.

It is an arithmetic number, because the mean of its divisors is an integer number (4471740).

Almost surely, 2157703840 is an apocalyptic number.

157703840 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 157703840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214643520).

157703840 is an abundant number, since it is smaller than the sum of its proper divisors (271583200).

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

157703840 is a wasteful number, since it uses less digits than its factorization.

157703840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 157703840 is about 12558.0189520481. The cubic root of 157703840 is about 540.2740264436.

The spelling of 157703840 in words is "one hundred fifty-seven million, seven hundred three thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 139 140 160 224 278 280 556 560 695 973 1013 1112 1120 1390 1946 2026 2224 2780 3892 4052 4448 4865 5065 5560 7091 7784 8104 9730 10130 11120 14182 15568 16208 19460 20260 22240 28364 31136 32416 35455 38920 40520 56728 70910 77840 81040 113456 140807 141820 155680 162080 226912 281614 283640 563228 567280 704035 985649 1126456 1134560 1408070 1971298 2252912 2816140 3942596 4505824 4928245 5632280 7885192 9856490 11264560 15770384 19712980 22529120 31540768 39425960 78851920 157703840