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140434776 = 23331921801
BaseRepresentation
bin10000101111011…
…01110101011000
3100210020211022000
420113231311120
5241422403101
621534001000
73323450556
oct1027556530
9323224260
10140434776
11722a97a9
123b046160
1323130201
1414918bd6
15c4e0486
hex85edd58

140434776 has 96 divisors (see below), whose sum is σ = 411937200. Its totient is φ = 44323200.

The previous prime is 140434771. The next prime is 140434781. The reversal of 140434776 is 677434041.

It is a happy number.

140434776 is a `hidden beast` number, since 140 + 43 + 477 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (140434771) and next prime (140434781).

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

It is a self number, because there is not a number n which added to its sum of digits gives 140434776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140434771) 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, 77076 + ... + 78876.

Almost surely, 2140434776 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 140434776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205968600).

140434776 is an abundant number, since it is smaller than the sum of its proper divisors (271502424).

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

140434776 is a wasteful number, since it uses less digits than its factorization.

140434776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 140434776 is about 11850.5179633635. The cubic root of 140434776 is about 519.7863718146.

The spelling of 140434776 in words is "one hundred forty million, four hundred thirty-four thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 361 456 513 684 722 1026 1083 1368 1444 1801 2052 2166 2888 3249 3602 4104 4332 5403 6498 7204 8664 9747 10806 12996 14408 16209 19494 21612 25992 32418 34219 38988 43224 48627 64836 68438 77976 97254 102657 129672 136876 194508 205314 273752 307971 389016 410628 615942 650161 821256 923913 1231884 1300322 1847826 1950483 2463768 2600644 3695652 3900966 5201288 5851449 7391304 7801932 11702898 15603864 17554347 23405796 35108694 46811592 70217388 140434776