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140283936 = 25321389421
BaseRepresentation
bin10000101110010…
…01000000100000
3100202222011101100
420113021000200
5241403041221
621530434400
73322252032
oct1027110040
9322864340
10140283936
1172206441
123ab92a00
13230a9660
14148b9c52
15c4b0926
hex85c9020

140283936 has 144 divisors (see below), whose sum is σ = 435478680. Its totient is φ = 42577920.

The previous prime is 140283929. The next prime is 140283971. The reversal of 140283936 is 639382041.

It can be written as a sum of positive squares in 4 ways, for example, as 27499536 + 112784400 = 5244^2 + 10620^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 140283936.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333006 + ... + 333426.

Almost surely, 2140283936 is an apocalyptic number.

140283936 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 140283936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217739340).

140283936 is an abundant number, since it is smaller than the sum of its proper divisors (295194744).

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

140283936 is a wasteful number, since it uses less digits than its factorization.

140283936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 140283936 is about 11844.1519747089. The cubic root of 140283936 is about 519.6002055231.

The spelling of 140283936 in words is "one hundred forty million, two hundred eighty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 89 96 104 117 144 156 178 208 234 267 288 312 356 416 421 468 534 624 712 801 842 936 1068 1157 1248 1263 1424 1602 1684 1872 2136 2314 2526 2848 3204 3368 3471 3744 3789 4272 4628 5052 5473 6408 6736 6942 7578 8544 9256 10104 10413 10946 12816 13472 13884 15156 16419 18512 20208 20826 21892 25632 27768 30312 32838 37024 37469 40416 41652 43784 49257 55536 60624 65676 74938 83304 87568 98514 111072 112407 121248 131352 149876 166608 175136 197028 224814 262704 299752 333216 337221 394056 449628 487097 525408 599504 674442 788112 899256 974194 1199008 1348884 1461291 1576224 1798512 1948388 2697768 2922582 3597024 3896776 4383873 5395536 5845164 7793552 8767746 10791072 11690328 15587104 17535492 23380656 35070984 46761312 70141968 140283936