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140681664 = 2633174789
BaseRepresentation
bin10000110001010…
…10000111000000
3100210201100222000
420120222013000
5242003303124
621543144000
73325526424
oct1030520700
9323640860
10140681664
1172458242
123b145000
13231b86b6
1414980b84
15c53d6c9
hex862a1c0

140681664 has 112 divisors (see below), whose sum is σ = 437997600. Its totient is φ = 44126208.

The previous prime is 140681641. The next prime is 140681683. The reversal of 140681664 is 466186041.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26982 + ... + 31770.

Almost surely, 2140681664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140681664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218998800).

140681664 is an abundant number, since it is smaller than the sum of its proper divisors (297315936).

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

140681664 is a wasteful number, since it uses less digits than its factorization.

140681664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4827 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 140681664 is about 11860.9301490229. The cubic root of 140681664 is about 520.0907928250.

The spelling of 140681664 in words is "one hundred forty million, six hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1728 1836 2448 3264 3672 4789 4896 7344 9578 9792 14367 14688 19156 28734 29376 38312 43101 57468 76624 81413 86202 114936 129303 153248 162826 172404 229872 244239 258606 306496 325652 344808 459744 488478 517212 651304 689616 732717 919488 976956 1034424 1302608 1379232 1465434 1953912 2068848 2198151 2605216 2758464 2930868 3907824 4137696 4396302 5210432 5861736 7815648 8275392 8792604 11723472 15631296 17585208 23446944 35170416 46893888 70340832 140681664