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157373840 = 245133892
BaseRepresentation
bin10010110000101…
…01010110010000
3101222010102022202
421120111112100
5310241430330
623341022332
73620440601
oct1130252620
9358112282
10157373840
1180919328
12448549a8
13267b1320
1416c87da8
15dc39445
hex9615590

157373840 has 60 divisors (see below), whose sum is σ = 395055444. Its totient is φ = 57957888.

The previous prime is 157373831. The next prime is 157373849. The reversal of 157373840 is 48373751.

It is an interprime number because it is at equal distance from previous prime (157373831) and next prime (157373849).

It can be written as a sum of positive squares in 6 ways, for example, as 42198016 + 115175824 = 6496^2 + 10732^2 .

It is a junction number, because it is equal to n+sod(n) for n = 157373794 and 157373803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157373849) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 404366 + ... + 404754.

Almost surely, 2157373840 is an apocalyptic number.

157373840 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 157373840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197527722).

157373840 is an abundant number, since it is smaller than the sum of its proper divisors (237681604).

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

157373840 is an equidigital number, since it uses as much as digits as its factorization.

157373840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 157373840 is about 12544.8730563525. The cubic root of 157373840 is about 539.8969167658.

The spelling of 157373840 in words is "one hundred fifty-seven million, three hundred seventy-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 389 520 778 1040 1556 1945 3112 3890 5057 6224 7780 10114 15560 20228 25285 31120 40456 50570 80912 101140 151321 202280 302642 404560 605284 756605 1210568 1513210 1967173 2421136 3026420 3934346 6052840 7868692 9835865 12105680 15737384 19671730 31474768 39343460 78686920 157373840