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1390380256 = 253110713099
BaseRepresentation
bin101001011011111…
…1000010011100000
310120220020122011001
41102313320103200
510321414132011
6345544401344
746312015516
oct12267702340
93526218131
101390380256
116539192a1
12329776254
13192091015
14d292a4b6
15820e47c1
hex52df84e0

1390380256 has 48 divisors (see below), whose sum is σ = 2852236800. Its totient is φ = 666426240.

The previous prime is 1390380223. The next prime is 1390380269. The reversal of 1390380256 is 6520830931.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99595 + ... + 112693.

It is an arithmetic number, because the mean of its divisors is an integer number (59421600).

Almost surely, 21390380256 is an apocalyptic number.

1390380256 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 1390380256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426118400).

1390380256 is an abundant number, since it is smaller than the sum of its proper divisors (1461856544).

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

1390380256 is a wasteful number, since it uses less digits than its factorization.

1390380256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13247 (or 13239 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 1390380256 is about 37287.8030460364. The cubic root of 1390380256 is about 1116.1207887315.

The spelling of 1390380256 in words is "one billion, three hundred ninety million, three hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 31 32 62 107 124 214 248 428 496 856 992 1712 3317 3424 6634 13099 13268 26198 26536 52396 53072 104792 106144 209584 406069 419168 812138 1401593 1624276 2803186 3248552 5606372 6497104 11212744 12994208 22425488 43449383 44850976 86898766 173797532 347595064 695190128 1390380256