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1331027968 = 213473457
BaseRepresentation
bin100111101010101…
…1110000000000000
310102202120020010011
41033111132000000
510211220343333
6340024314304
744661360004
oct11725360000
93382506104
101331027968
11623370016
12311912994
131829acb1a
14c8aba704
157bcbd9cd
hex4f55e000

1331027968 has 56 divisors (see below), whose sum is σ = 2719315872. Its totient is φ = 651165696.

The previous prime is 1331027953. The next prime is 1331027981. The reversal of 1331027968 is 8697201331.

It is a self number, because there is not a number n which added to its sum of digits gives 1331027968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 383296 + ... + 386752.

It is an arithmetic number, because the mean of its divisors is an integer number (48559212).

Almost surely, 21331027968 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 1331027968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359657936).

1331027968 is an abundant number, since it is smaller than the sum of its proper divisors (1388287904).

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

1331027968 is an frugal number, since it uses more digits than its factorization.

1331027968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3530 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 1331027968 is about 36483.2559950452. The cubic root of 1331027968 is about 1100.0077046292.

The spelling of 1331027968 in words is "one billion, three hundred thirty-one million, twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 512 752 1024 1504 2048 3008 3457 4096 6016 6914 8192 12032 13828 24064 27656 48128 55312 96256 110624 162479 192512 221248 324958 385024 442496 649916 884992 1299832 1769984 2599664 3539968 5199328 7079936 10398656 14159872 20797312 28319744 41594624 83189248 166378496 332756992 665513984 1331027968