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157046640 = 24353671783
BaseRepresentation
bin10010101110001…
…01011101110000
3101221111210111020
421113011131300
5310200443030
623330015440
73614605632
oct1127053560
9357453436
10157046640
1180715513
1244717580
13266c840a
1416c00a52
15dbc2510
hex95c5770

157046640 has 80 divisors (see below), whose sum is σ = 488444928. Its totient is φ = 41741568.

The previous prime is 157046639. The next prime is 157046677. The reversal of 157046640 is 46640751.

157046640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87189 + ... + 88971.

Almost surely, 2157046640 is an apocalyptic number.

157046640 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 157046640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244222464).

157046640 is an abundant number, since it is smaller than the sum of its proper divisors (331398288).

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

157046640 is a wasteful number, since it uses less digits than its factorization.

157046640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 157046640 is about 12531.8250865546. The cubic root of 157046640 is about 539.5224859591.

The spelling of 157046640 in words is "one hundred fifty-seven million, forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 367 734 1101 1468 1783 1835 2202 2936 3566 3670 4404 5349 5505 5872 7132 7340 8808 8915 10698 11010 14264 14680 17616 17830 21396 22020 26745 28528 29360 35660 42792 44040 53490 71320 85584 88080 106980 142640 213960 427920 654361 1308722 1963083 2617444 3271805 3926166 5234888 6543610 7852332 9815415 10469776 13087220 15704664 19630830 26174440 31409328 39261660 52348880 78523320 157046640