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140350464 = 2103297157
BaseRepresentation
bin10000101110110…
…01010000000000
3100210002112122100
420113121100000
5241412203324
621532110400
73322650012
oct1027312000
9323075570
10140350464
1172251421
123b005400
1323100a17
14148d61b2
15c4c54c9
hex85d9400

140350464 has 132 divisors (see below), whose sum is σ = 412044724. Its totient is φ = 46006272.

The previous prime is 140350433. The next prime is 140350493. The reversal of 140350464 is 464053041.

It can be written as a sum of positive squares in 2 ways, for example, as 51840000 + 88510464 = 7200^2 + 9408^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 893874 + ... + 894030.

Almost surely, 2140350464 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 140350464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206022362).

140350464 is an abundant number, since it is smaller than the sum of its proper divisors (271694260).

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

140350464 is a wasteful number, since it uses less digits than its factorization.

140350464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 140350464 is about 11846.9601164181. The cubic root of 140350464 is about 519.6823306293.

The spelling of 140350464 in words is "one hundred forty million, three hundred fifty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 144 157 192 194 256 288 291 314 384 388 471 512 576 582 628 768 776 873 942 1024 1152 1164 1256 1413 1536 1552 1746 1884 2304 2328 2512 2826 3072 3104 3492 3768 4608 4656 5024 5652 6208 6984 7536 9216 9312 10048 11304 12416 13968 15072 15229 18624 20096 22608 24832 27936 30144 30458 37248 40192 45216 45687 49664 55872 60288 60916 74496 80384 90432 91374 99328 111744 120576 121832 137061 148992 160768 180864 182748 223488 241152 243664 274122 297984 361728 365496 446976 482304 487328 548244 723456 730992 893952 974656 1096488 1446912 1461984 1949312 2192976 2923968 3898624 4385952 5847936 7797248 8771904 11695872 15594496 17543808 23391744 35087616 46783488 70175232 140350464