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1140031968 = 25317733953
BaseRepresentation
bin100001111110011…
…1000000111100000
32221110011121212020
41003330320013200
54313322010333
6305042501440
740152053235
oct10374700740
92843147766
101140031968
11535577989
12279964880
13152258c3a
14ab59d78c
156a1423b3
hex43f381e0

1140031968 has 96 divisors (see below), whose sum is σ = 3176270496. Its totient is φ = 356794368.

The previous prime is 1140031957. The next prime is 1140031987. The reversal of 1140031968 is 8691300411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1195780 + ... + 1196732.

It is an arithmetic number, because the mean of its divisors is an integer number (33086151).

Almost surely, 21140031968 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 1140031968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588135248).

1140031968 is an abundant number, since it is smaller than the sum of its proper divisors (2036238528).

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

1140031968 is a wasteful number, since it uses less digits than its factorization.

1140031968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 1140031968 is about 33764.3594341726. The cubic root of 1140031968 is about 1044.6536914027.

The spelling of 1140031968 in words is "one billion, one hundred forty million, thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 733 816 953 1466 1632 1906 2199 2859 2932 3812 4398 5718 5864 7624 8796 11436 11728 12461 15248 16201 17592 22872 23456 24922 30496 32402 35184 37383 45744 48603 49844 64804 70368 74766 91488 97206 99688 129608 149532 194412 199376 259216 299064 388824 398752 518432 598128 698549 777648 1196256 1397098 1555296 2095647 2794196 4191294 5588392 8382588 11176784 11875333 16765176 22353568 23750666 33530352 35625999 47501332 67060704 71251998 95002664 142503996 190005328 285007992 380010656 570015984 1140031968