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140269792 = 25133173149
BaseRepresentation
bin10000101110001…
…01100011100000
3100202221102222111
420113011203200
5241402113132
621530245104
73322162555
oct1027054340
9322842874
10140269792
11721a6853
123ab86794
13230a30a0
14148b4a2c
15c4ab647
hex85c58e0

140269792 has 96 divisors (see below), whose sum is σ = 313286400. Its totient is φ = 61378560.

The previous prime is 140269777. The next prime is 140269859. The reversal of 140269792 is 297962041.

It is a super-2 number, since 2×1402697922 = 39351229095446528, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 941334 + ... + 941482.

It is an arithmetic number, because the mean of its divisors is an integer number (3263400).

Almost surely, 2140269792 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 140269792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156643200).

140269792 is an abundant number, since it is smaller than the sum of its proper divisors (173016608).

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

140269792 is a wasteful number, since it uses less digits than its factorization.

140269792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 140269792 is about 11843.5548717435. The cubic root of 140269792 is about 519.5827421971.

The spelling of 140269792 in words is "one hundred forty million, two hundred sixty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 73 104 124 146 149 208 248 292 298 403 416 496 584 596 806 949 992 1168 1192 1612 1898 1937 2263 2336 2384 3224 3796 3874 4526 4619 4768 6448 7592 7748 9052 9238 10877 12896 15184 15496 18104 18476 21754 29419 30368 30992 36208 36952 43508 58838 60047 61984 72416 73904 87016 117676 120094 141401 147808 174032 235352 240188 282802 337187 348064 470704 480376 565604 674374 941408 960752 1131208 1348748 1921504 2262416 2697496 4383431 4524832 5394992 8766862 10789984 17533724 35067448 70134896 140269792