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157315700 = 22523121637
BaseRepresentation
bin10010110000001…
…11001001110100
3101222000110120102
421120013021310
5310233100300
623335453232
73620106233
oct1130071164
9358013512
10157315700
1180889683
1244827218
1326790a19
1416c70b1a
15dc270d5
hex9607274

157315700 has 54 divisors (see below), whose sum is σ = 352957878. Its totient is φ = 60859200.

The previous prime is 157315693. The next prime is 157315723. The reversal of 157315700 is 7513751.

It can be written as a sum of positive squares in 3 ways, for example, as 465124 + 156850576 = 682^2 + 12524^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 95282 + ... + 96918.

It is an arithmetic number, because the mean of its divisors is an integer number (6536257).

Almost surely, 2157315700 is an apocalyptic number.

157315700 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 157315700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176478939).

157315700 is an abundant number, since it is smaller than the sum of its proper divisors (195642178).

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

157315700 is a wasteful number, since it uses less digits than its factorization.

157315700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 29.

The square root of 157315700 is about 12542.5555609692. Note that the first 4 decimals coincide. The cubic root of 157315700 is about 539.8304222899.

The spelling of 157315700 in words is "one hundred fifty-seven million, three hundred fifteen thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 961 1550 1637 1922 3100 3274 3844 4805 6548 8185 9610 16370 19220 24025 32740 40925 48050 50747 81850 96100 101494 163700 202988 253735 507470 1014940 1268675 1573157 2537350 3146314 5074700 6292628 7865785 15731570 31463140 39328925 78657850 157315700