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1089126972 = 22351120501
BaseRepresentation
bin100000011101010…
…1100001000111100
32210220101101100000
41000322230020330
54212304030342
6300023434300
735663266203
oct10072541074
92726341300
101089126972
1150986923a
122648b5990
1314484493b
14a490c23a
156593944c
hex40eac23c

1089126972 has 36 divisors (see below), whose sum is σ = 2855039096. Its totient is φ = 363042000.

The previous prime is 1089126967. The next prime is 1089126989. The reversal of 1089126972 is 2796219801.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10891269722 = 2372395122275777568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 559279 + ... + 561222.

Almost surely, 21089126972 is an apocalyptic number.

1089126972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1089126972 is an abundant number, since it is smaller than the sum of its proper divisors (1765912124).

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

1089126972 is a wasteful number, since it uses less digits than its factorization.

1089126972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120520 (or 1120506 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1089126972 is about 33001.9237621082. The cubic root of 1089126972 is about 1028.8676316569.

The spelling of 1089126972 in words is "one billion, eighty-nine million, one hundred twenty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 1120501 2241002 3361503 4482004 6723006 10084509 13446012 20169018 30253527 40338036 60507054 90760581 121014108 181521162 272281743 363042324 544563486 1089126972