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1107927264 = 253175312809
BaseRepresentation
bin100001000001001…
…1010000011100000
32212012202112111010
41002002122003200
54232112133024
6301534420520
736312140433
oct10202320340
92765675433
101107927264
1151943a174
1226b061740
131486c7c82
14a720381a
15673eeb29
hex4209a0e0

1107927264 has 96 divisors (see below), whose sum is σ = 3137732640. Its totient is φ = 341000192.

The previous prime is 1107927253. The next prime is 1107927407. The reversal of 1107927264 is 4627297011.

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, 80092 + ... + 92900.

It is an arithmetic number, because the mean of its divisors is an integer number (32684715).

Almost surely, 21107927264 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 1107927264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568866320).

1107927264 is an abundant number, since it is smaller than the sum of its proper divisors (2029805376).

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

1107927264 is a wasteful number, since it uses less digits than its factorization.

1107927264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12892 (or 12884 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 1107927264 is about 33285.5413655839. The cubic root of 1107927264 is about 1034.7539268909.

The spelling of 1107927264 in words is "one billion, one hundred seven million, nine hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 68 96 102 106 136 159 204 212 272 318 408 424 544 636 816 848 901 1272 1632 1696 1802 2544 2703 3604 5088 5406 7208 10812 12809 14416 21624 25618 28832 38427 43248 51236 76854 86496 102472 153708 204944 217753 307416 409888 435506 614832 653259 678877 871012 1229664 1306518 1357754 1742024 2036631 2613036 2715508 3484048 4073262 5226072 5431016 6968096 8146524 10452144 10862032 11540909 16293048 20904288 21724064 23081818 32586096 34622727 46163636 65172192 69245454 92327272 138490908 184654544 276981816 369309088 553963632 1107927264