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140073024 = 2637138017
BaseRepresentation
bin10000101100101…
…01100001000000
3100202120110001210
420112111201000
5241324314044
621522130120
73320413110
oct1026254100
9322513053
10140073024
1172081a33
123aab0940
1323034660
1414863040
15c46d1b9
hex8595840

140073024 has 112 divisors (see below), whose sum is σ = 456192128. Its totient is φ = 36937728.

The previous prime is 140073023. The next prime is 140073077. The reversal of 140073024 is 420370041.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (140073023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13464 + ... + 21480.

It is an arithmetic number, because the mean of its divisors is an integer number (4073144).

Almost surely, 2140073024 is an apocalyptic number.

140073024 is a gapful number since it is divisible by the number (14) 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 140073024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228096064).

140073024 is an abundant number, since it is smaller than the sum of its proper divisors (316119104).

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

140073024 is a wasteful number, since it uses less digits than its factorization.

140073024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8052 (or 8042 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 140073024 is about 11835.2449911271. The cubic root of 140073024 is about 519.3396746571.

The spelling of 140073024 in words is "one hundred forty million, seventy-three thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8017 8736 16034 17472 24051 32068 48102 56119 64136 96204 104221 112238 128272 168357 192408 208442 224476 256544 312663 336714 384816 416884 448952 513088 625326 673428 729547 769632 833768 897904 1250652 1346856 1459094 1539264 1667536 1795808 2188641 2501304 2693712 2918188 3335072 3591616 4377282 5002608 5387424 5836376 6670144 8754564 10005216 10774848 11672752 17509128 20010432 23345504 35018256 46691008 70036512 140073024