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140736816 = 243211233863
BaseRepresentation
bin10000110001101…
…11100100110000
3100210211011121200
420120313210300
5242012034231
621544251200
73326146263
oct1030674460
9323734550
10140736816
1172495720
123b170b00
132320782c
1414996cda
15c54ebe6
hex8637930

140736816 has 120 divisors (see below), whose sum is σ = 448471296. Its totient is φ = 40782720.

The previous prime is 140736811. The next prime is 140736833. The reversal of 140736816 is 618637041.

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

It is not an unprimeable number, because it can be changed into a prime (140736811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34501 + ... + 38363.

Almost surely, 2140736816 is an apocalyptic number.

140736816 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 140736816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224235648).

140736816 is an abundant number, since it is smaller than the sum of its proper divisors (307734480).

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

140736816 is a wasteful number, since it uses less digits than its factorization.

140736816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3911 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 140736816 is about 11863.2548653394. The cubic root of 140736816 is about 520.1587483757.

The spelling of 140736816 in words is "one hundred forty million, seven hundred thirty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 33 36 44 46 48 66 69 72 88 92 99 132 138 144 176 184 198 207 253 264 276 368 396 414 506 528 552 759 792 828 1012 1104 1518 1584 1656 2024 2277 3036 3312 3863 4048 4554 6072 7726 9108 11589 12144 15452 18216 23178 30904 34767 36432 42493 46356 61808 69534 84986 88849 92712 127479 139068 169972 177698 185424 254958 266547 278136 339944 355396 382437 509916 533094 556272 679888 710792 764874 799641 977339 1019832 1066188 1421584 1529748 1599282 1954678 2039664 2132376 2932017 3059496 3198564 3909356 4264752 5864034 6118992 6397128 7818712 8796051 11728068 12794256 15637424 17592102 23456136 35184204 46912272 70368408 140736816