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157107240 = 233252331873
BaseRepresentation
bin10010101110101…
…00010000101000
3101221121212121200
421113110100220
5310204412430
623331204200
73615250413
oct1127242050
9357555550
10157107240
1180756aa4
1244746660
1326719b84
1416c18b7a
15dbd5460
hex95d4428

157107240 has 96 divisors (see below), whose sum is σ = 513063720. Its totient is φ = 41693184.

The previous prime is 157107193. The next prime is 157107253. The reversal of 157107240 is 42701751.

It can be written as a sum of positive squares in 4 ways, for example, as 55621764 + 101485476 = 7458^2 + 10074^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 82944 + ... + 84816.

Almost surely, 2157107240 is an apocalyptic number.

157107240 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 157107240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256531860).

157107240 is an abundant number, since it is smaller than the sum of its proper divisors (355956480).

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

157107240 is a wasteful number, since it uses less digits than its factorization.

157107240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 157107240 is about 12534.2426975067. The cubic root of 157107240 is about 539.5918726886.

Adding to 157107240 its reverse (42701751), we get a palindrome (199808991).

The spelling of 157107240 in words is "one hundred fifty-seven million, one hundred seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 233 360 466 699 932 1165 1398 1864 1873 2097 2330 2796 3495 3746 4194 4660 5592 5619 6990 7492 8388 9320 9365 10485 11238 13980 14984 16776 16857 18730 20970 22476 27960 28095 33714 37460 41940 44952 56190 67428 74920 83880 84285 112380 134856 168570 224760 337140 436409 674280 872818 1309227 1745636 2182045 2618454 3491272 3927681 4364090 5236908 6546135 7855362 8728180 10473816 13092270 15710724 17456360 19638405 26184540 31421448 39276810 52369080 78553620 157107240