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1076566480 = 245111771963
BaseRepresentation
bin100000000101011…
…0001100111010000
32210000202020120121
41000022301213100
54201100111410
6254454320024
735451443533
oct10012614720
92700666517
101076566480
1150276a370
12260659014
131420677b2
14a2d9ca1a
15647a79da
hex402b19d0

1076566480 has 80 divisors (see below), whose sum is σ = 2891225664. Its totient is φ = 368445440.

The previous prime is 1076566457. The next prime is 1076566487. The reversal of 1076566480 is 846656701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076566487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21022 + ... + 50941.

Almost surely, 21076566480 is an apocalyptic number.

1076566480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1076566480 is an abundant number, since it is smaller than the sum of its proper divisors (1814659184).

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

1076566480 is a wasteful number, since it uses less digits than its factorization.

1076566480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72004 (or 71998 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 1076566480 is about 32811.0725213304. The cubic root of 1076566480 is about 1024.8971477206.

The spelling of 1076566480 in words is "one billion, seventy-six million, five hundred sixty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 14960 71963 143926 287852 359815 575704 719630 791593 1151408 1223371 1439260 1583186 2446742 2878520 3166372 3957965 4893484 5757040 6116855 6332744 7915930 9786968 12233710 12665488 13457081 15831860 19573936 24467420 26914162 31663720 48934840 53828324 63327440 67285405 97869680 107656648 134570810 215313296 269141620 538283240 1076566480