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140464896 = 28311131279
BaseRepresentation
bin10000101111101…
…01001100000000
3100210022100121120
420113311030000
5241424334041
621534352240
73323634435
oct1027651400
9323270546
10140464896
117231a3a0
123b05b680
1323140b30
1414925b8c
15c4e9366
hex85f5300

140464896 has 144 divisors (see below), whose sum is σ = 439541760. Its totient is φ = 39260160.

The previous prime is 140464889. The next prime is 140464903. The reversal of 140464896 is 698464041.

It is an interprime number because it is at equal distance from previous prime (140464889) and next prime (140464903).

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, 109185 + ... + 110463.

Almost surely, 2140464896 is an apocalyptic number.

140464896 is a gapful number since it is divisible by the number (16) 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 140464896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219770880).

140464896 is an abundant number, since it is smaller than the sum of its proper divisors (299076864).

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

140464896 is a wasteful number, since it uses less digits than its factorization.

140464896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 140464896 is about 11851.7887257578. The cubic root of 140464896 is about 519.8235298625.

The spelling of 140464896 in words is "one hundred forty million, four hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 256 264 286 312 352 384 416 429 528 572 624 704 768 832 858 1056 1144 1248 1279 1408 1664 1716 2112 2288 2496 2558 2816 3328 3432 3837 4224 4576 4992 5116 6864 7674 8448 9152 9984 10232 13728 14069 15348 16627 18304 20464 27456 28138 30696 33254 36608 40928 42207 49881 54912 56276 61392 66508 81856 84414 99762 109824 112552 122784 133016 163712 168828 182897 199524 225104 245568 266032 327424 337656 365794 399048 450208 491136 532064 548691 675312 731588 798096 900416 982272 1064128 1097382 1350624 1463176 1596192 1800832 2128256 2194764 2701248 2926352 3192384 3601664 4256512 4389528 5402496 5852704 6384768 8779056 10804992 11705408 12769536 17558112 23410816 35116224 46821632 70232448 140464896