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1406480256 = 27321220903
BaseRepresentation
bin101001111010101…
…0010111110000000
310122000112121012100
41103311102332000
510340024332011
6351321430400
746565612346
oct12365227600
93560477170
101406480256
11661a15485
1233303b400
1319550a24c
14d4b1b996
1583724d56
hex53d52f80

1406480256 has 48 divisors (see below), whose sum is σ = 4047296760. Its totient is φ = 468826368.

The previous prime is 1406480209. The next prime is 1406480267. The reversal of 1406480256 is 6520846041.

1406480256 is a `hidden beast` number, since 1 + 4 + 0 + 648 + 0 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 1406480256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 609300 + ... + 611603.

Almost surely, 21406480256 is an apocalyptic number.

1406480256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1406480256 is an abundant number, since it is smaller than the sum of its proper divisors (2640816504).

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

1406480256 is a wasteful number, since it uses less digits than its factorization.

1406480256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220923 (or 1220908 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1406480256 is about 37503.0699543384. The cubic root of 1406480256 is about 1120.4123311737.

The spelling of 1406480256 in words is "one billion, four hundred six million, four hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1220903 2441806 3662709 4883612 7325418 9767224 10988127 14650836 19534448 21976254 29301672 39068896 43952508 58603344 78137792 87905016 117206688 156275584 175810032 234413376 351620064 468826752 703240128 1406480256