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140661136 = 247112931127
BaseRepresentation
bin10000110001001…
…01000110010000
3100210200022210201
420120211012100
5242002124021
621542504544
73325412530
oct1030450620
9323608721
10140661136
1172443880
123b135154
13231ac255
14149774c0
15c537591
hex8625190

140661136 has 160 divisors (see below), whose sum is σ = 365690880. Its totient is φ = 50803200.

The previous prime is 140661097. The next prime is 140661137. The reversal of 140661136 is 631166041.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (140661137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1107505 + ... + 1107631.

It is an arithmetic number, because the mean of its divisors is an integer number (2285568).

Almost surely, 2140661136 is an apocalyptic number.

140661136 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 140661136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182845440).

140661136 is an abundant number, since it is smaller than the sum of its proper divisors (225029744).

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

140661136 is a wasteful number, since it uses less digits than its factorization.

140661136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 140661136 is about 11860.0647553038. The cubic root of 140661136 is about 520.0654947091.

The spelling of 140661136 in words is "one hundred forty million, six hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 31 44 56 58 62 77 88 112 116 124 127 154 176 203 217 232 248 254 308 319 341 406 434 464 496 508 616 638 682 812 868 889 899 1016 1232 1276 1364 1397 1624 1736 1778 1798 2032 2233 2387 2552 2728 2794 3248 3472 3556 3596 3683 3937 4466 4774 5104 5456 5588 6293 7112 7192 7366 7874 8932 9548 9779 9889 11176 12586 14224 14384 14732 15748 17864 19096 19558 19778 22352 25172 25781 27559 29464 31496 35728 38192 39116 39556 40513 43307 50344 51562 55118 58928 62992 69223 78232 79112 81026 86614 100688 103124 110236 114173 138446 156464 158224 162052 173228 206248 220472 228346 276892 283591 303149 324104 346456 412496 440944 456692 553784 567182 606298 648208 692912 799211 913384 1107568 1134364 1212596 1255903 1598422 1826768 2268728 2425192 2511806 3196844 4537456 4850384 5023612 6393688 8791321 10047224 12787376 17582642 20094448 35165284 70330568 140661136