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140054784 = 283434241
BaseRepresentation
bin10000101100100…
…01000100000000
3100202112112001020
420112101010000
5241323223114
621521505440
73320305662
oct1026210400
9322475036
10140054784
117206a261
123aaa2280
132302926c
141485a532
15c467aa9
hex8591100

140054784 has 72 divisors (see below), whose sum is σ = 381508512. Its totient is φ = 45588480.

The previous prime is 140054777. The next prime is 140054819. The reversal of 140054784 is 487450041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30904 + ... + 35144.

Almost surely, 2140054784 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 140054784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190754256).

140054784 is an abundant number, since it is smaller than the sum of its proper divisors (241453728).

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

140054784 is an equidigital number, since it uses as much as digits as its factorization.

140054784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4303 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 140054784 is about 11834.4743863004. The cubic root of 140054784 is about 519.3171312565.

The spelling of 140054784 in words is "one hundred forty million, fifty-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 516 688 768 1032 1376 2064 2752 4128 4241 5504 8256 8482 11008 12723 16512 16964 25446 33024 33928 50892 67856 101784 135712 182363 203568 271424 364726 407136 542848 547089 729452 814272 1085696 1094178 1458904 1628544 2188356 2917808 3257088 4376712 5835616 8753424 11671232 17506848 23342464 35013696 46684928 70027392 140054784