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157060064 = 2571913671
BaseRepresentation
bin10010101110010…
…00101111100000
3101221112110220102
421113020233200
5310201410224
623330201532
73614663030
oct1127105740
9357473812
10157060064
1180724607
12447232a8
1326701565
1416c058c0
15dbc64ae
hex95c8be0

157060064 has 48 divisors (see below), whose sum is σ = 355332096. Its totient is φ = 66940800.

The previous prime is 157060063. The next prime is 157060067. The reversal of 157060064 is 460060751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157060063) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 40949 + ... + 44619.

It is an arithmetic number, because the mean of its divisors is an integer number (7402752).

Almost surely, 2157060064 is an apocalyptic number.

157060064 is a gapful number since it is divisible by the number (14) 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 157060064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177666048).

157060064 is an abundant number, since it is smaller than the sum of its proper divisors (198272032).

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

157060064 is a wasteful number, since it uses less digits than its factorization.

157060064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879 (or 3871 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 157060064 is about 12532.3606714777. The cubic root of 157060064 is about 539.5378579180.

The spelling of 157060064 in words is "one hundred fifty-seven million, sixty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 191 224 382 764 1337 1528 2674 3056 3671 5348 6112 7342 10696 14684 21392 25697 29368 42784 51394 58736 102788 117472 205576 411152 701161 822304 1402322 2804644 4908127 5609288 9816254 11218576 19632508 22437152 39265016 78530032 157060064