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157718340 = 22345137489
BaseRepresentation
bin10010110011010…
…01011101000100
3101222202220220000
421121221131010
5310333441330
623352241300
73623404143
oct1131513504
9358686800
10157718340
118103413a
12449a0230
13268a2080
1416d3775a
15dca6560
hex9669744

157718340 has 120 divisors (see below), whose sum is σ = 532898520. Its totient is φ = 38817792.

The previous prime is 157718339. The next prime is 157718389. The reversal of 157718340 is 43817751.

157718340 is a `hidden beast` number, since 1 + 577 + 1 + 83 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2566404 + 155151936 = 1602^2 + 12456^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 157718295 and 157718304.

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 39 ways as a sum of consecutive naturals, for example, 17316 + ... + 24804.

It is an arithmetic number, because the mean of its divisors is an integer number (4440821).

Almost surely, 2157718340 is an apocalyptic number.

157718340 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 157718340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266449260).

157718340 is an abundant number, since it is smaller than the sum of its proper divisors (375180180).

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

157718340 is a wasteful number, since it uses less digits than its factorization.

157718340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7523 (or 7512 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 157718340 is about 12558.5962591366. The cubic root of 157718340 is about 540.2905843437.

The spelling of 157718340 in words is "one hundred fifty-seven million, seven hundred eighteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 7489 10530 14978 21060 22467 29956 37445 44934 67401 74890 89868 97357 112335 134802 149780 194714 202203 224670 269604 292071 337005 389428 404406 449340 486785 584142 606609 674010 808812 876213 973570 1011015 1168284 1213218 1348020 1460355 1752426 1947140 2022030 2426436 2628639 2920710 3033045 3504852 4044060 4381065 5257278 5841420 6066090 7885917 8762130 10514556 12132180 13143195 15771834 17524260 26286390 31543668 39429585 52572780 78859170 157718340