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157114340 = 225171373373
BaseRepresentation
bin10010101110101…
…01111111100100
3101221122020100122
421113111333210
5310210124330
623331301112
73615310205
oct1127257744
9357566318
10157114340
1180761369
124474a798
1326720186
1416c1b5ac
15dbd75e5
hex95d5fe4

157114340 has 48 divisors (see below), whose sum is σ = 352002672. Its totient is φ = 58699776.

The previous prime is 157114339. The next prime is 157114351. The reversal of 157114340 is 43411751.

It can be written as a sum of positive squares in 8 ways, for example, as 31181056 + 125933284 = 5584^2 + 11222^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44894 + ... + 48266.

It is an arithmetic number, because the mean of its divisors is an integer number (7333389).

Almost surely, 2157114340 is an apocalyptic number.

157114340 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 157114340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176001336).

157114340 is an abundant number, since it is smaller than the sum of its proper divisors (194888332).

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

157114340 is a wasteful number, since it uses less digits than its factorization.

157114340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 157114340 is about 12534.5259184382. The cubic root of 157114340 is about 539.6000009891.

The spelling of 157114340 in words is "one hundred fifty-seven million, one hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 137 170 274 340 548 685 1370 2329 2740 3373 4658 6746 9316 11645 13492 16865 23290 33730 46580 57341 67460 114682 229364 286705 462101 573410 924202 1146820 1848404 2310505 4621010 7855717 9242020 15711434 31422868 39278585 78557170 157114340