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906000972 = 223661114221
BaseRepresentation
bin110110000000000…
…111101001001100
32100010210121200120
4312000013221030
53323414012342
6225522424540
731310611152
oct6600075114
92303717616
10906000972
11425460a38
12213502150
13115917c66
148847d3d2
1554814aec
hex36007a4c

906000972 has 24 divisors (see below), whose sum is σ = 2117218992. Its totient is φ = 301540800.

The previous prime is 906000971. The next prime is 906000983. The reversal of 906000972 is 279000609.

It is a super-2 number, since 2×9060009722 = 1641675522529889568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (906000971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49179 + ... + 65042.

It is an arithmetic number, because the mean of its divisors is an integer number (88217458).

Almost surely, 2906000972 is an apocalyptic number.

It is an amenable number.

906000972 is an abundant number, since it is smaller than the sum of its proper divisors (1211218020).

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

906000972 is a wasteful number, since it uses less digits than its factorization.

906000972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114889 (or 114887 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 906000972 is about 30099.8500328490. The cubic root of 906000972 is about 967.6305123430.

The spelling of 906000972 in words is "nine hundred six million, nine hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 661 1322 1983 2644 3966 7932 114221 228442 342663 456884 685326 1370652 75500081 151000162 226500243 302000324 453000486 906000972