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140436072 = 23337293317
BaseRepresentation
bin10000101111011…
…10001001101000
3100210020220002000
420113232021220
5241422423242
621534011000
73323454420
oct1027561150
9323226060
10140436072
11722aa777
123b046a60
132313098a
1414919480
15c4e0a4c
hex85ee268

140436072 has 128 divisors (see below), whose sum is σ = 448761600. Its totient is φ = 39861504.

The previous prime is 140436041. The next prime is 140436103. The reversal of 140436072 is 270634041.

140436072 is a `hidden beast` number, since 14 + 0 + 43 + 607 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (140436041) and next prime (140436103).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442858 + ... + 443174.

It is an arithmetic number, because the mean of its divisors is an integer number (3505950).

Almost surely, 2140436072 is an apocalyptic number.

140436072 is a gapful number since it is divisible by the number (12) 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 140436072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224380800).

140436072 is an abundant number, since it is smaller than the sum of its proper divisors (308325528).

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

140436072 is a wasteful number, since it uses less digits than its factorization.

140436072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 140436072 is about 11850.5726443915. The cubic root of 140436072 is about 519.7879707563.

The spelling of 140436072 in words is "one hundred forty million, four hundred thirty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 293 317 378 504 586 634 756 879 951 1172 1268 1512 1758 1902 2051 2219 2344 2536 2637 2853 3516 3804 4102 4438 5274 5706 6153 6657 7032 7608 7911 8204 8559 8876 10548 11412 12306 13314 15822 16408 17118 17752 18459 19971 21096 22824 24612 26628 31644 34236 36918 39942 49224 53256 55377 59913 63288 68472 73836 79884 92881 110754 119826 147672 159768 185762 221508 239652 278643 371524 443016 479304 557286 650167 743048 835929 1114572 1300334 1671858 1950501 2229144 2507787 2600668 3343716 3901002 5015574 5201336 5851503 6687432 7802004 10031148 11703006 15604008 17554509 20062296 23406012 35109018 46812024 70218036 140436072