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140060064 = 25323229277
BaseRepresentation
bin10000101100100…
…10010110100000
3100202112210021210
420112102112200
5241323410224
621521550120
73320330244
oct1026222640
9322483253
10140060064
1172073221
123aaa5340
132302b7a1
141485c424
15c469429
hex85925a0

140060064 has 96 divisors (see below), whose sum is σ = 386709120. Its totient is φ = 44301312.

The previous prime is 140060057. The next prime is 140060069. The reversal of 140060064 is 460060041.

140060064 is digitally balanced in base 3, 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 (96).

It is a self number, because there is not a number n which added to its sum of digits gives 140060064.

It is not an unprimeable number, because it can be changed into a prime (140060069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505494 + ... + 505770.

It is an arithmetic number, because the mean of its divisors is an integer number (4028220).

Almost surely, 2140060064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140060064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193354560).

140060064 is an abundant number, since it is smaller than the sum of its proper divisors (246649056).

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

140060064 is a wasteful number, since it uses less digits than its factorization.

140060064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 140060064 is about 11834.6974612788. The cubic root of 140060064 is about 519.3236571790.

The spelling of 140060064 in words is "one hundred forty million, sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 229 276 277 368 458 552 554 687 736 831 916 1104 1108 1374 1662 1832 2208 2216 2748 3324 3664 4432 5267 5496 6371 6648 7328 8864 10534 10992 12742 13296 15801 19113 21068 21984 25484 26592 31602 38226 42136 50968 63204 63433 76452 84272 101936 126408 126866 152904 168544 190299 203872 252816 253732 305808 380598 505632 507464 611616 761196 1014928 1458959 1522392 2029856 2917918 3044784 4376877 5835836 6089568 8753754 11671672 17507508 23343344 35015016 46686688 70030032 140060064