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1406255136 = 2531113102437
BaseRepresentation
bin101001111010001…
…1100000000100000
310122000010011101120
41103310130000200
510340000131021
6351312532240
746563654126
oct12364340040
93560104346
101406255136
11661881330
12332b51080
1319545b940
14d4a9d916
15836cd2c6
hex53d1c020

1406255136 has 96 divisors (see below), whose sum is σ = 4336815168. Its totient is φ = 393354240.

The previous prime is 1406255131. The next prime is 1406255159. The reversal of 1406255136 is 6315526041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1406255097 and 1406255106.

It is not an unprimeable number, because it can be changed into a prime (1406255131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37491 + ... + 64946.

It is an arithmetic number, because the mean of its divisors is an integer number (45175158).

Almost surely, 21406255136 is an apocalyptic number.

1406255136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1406255136 is an abundant number, since it is smaller than the sum of its proper divisors (2930560032).

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

1406255136 is a wasteful number, since it uses less digits than its factorization.

1406255136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102474 (or 102466 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 1406255136 is about 37500.0684799375. The cubic root of 1406255136 is about 1120.3525505781.

The spelling of 1406255136 in words is "one billion, four hundred six million, two hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 13728 102437 204874 307311 409748 614622 819496 1126807 1229244 1331681 1638992 2253614 2458488 2663362 3277984 3380421 3995043 4507228 4916976 5326724 6760842 7990086 9014456 9833952 10653448 13521684 14648491 15980172 18028912 21306896 27043368 29296982 31960344 36057824 42613792 43945473 54086736 58593964 63920688 87890946 108173472 117187928 127841376 175781892 234375856 351563784 468751712 703127568 1406255136