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90216147 = 3741910253
BaseRepresentation
bin1010110000010…
…01011011010011
320021202110021210
411120021123103
5141043404042
612541351203
72143552560
oct530113323
9207673253
1090216147
1146a197aa
1226268503
13158c9448
14bda5867
157dc0a9c
hex56096d3

90216147 has 16 divisors (see below), whose sum is σ = 137813760. Its totient is φ = 51424032.

The previous prime is 90216131. The next prime is 90216157. The reversal of 90216147 is 74161209.

It is a happy number.

It is not a de Polignac number, because 90216147 - 24 = 90216131 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90216157) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3673 + ... + 13925.

It is an arithmetic number, because the mean of its divisors is an integer number (8613360).

Almost surely, 290216147 is an apocalyptic number.

90216147 is a deficient number, since it is larger than the sum of its proper divisors (47597613).

90216147 is a wasteful number, since it uses less digits than its factorization.

90216147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10682.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 90216147 is about 9498.2180960431. The cubic root of 90216147 is about 448.4989442052.

The spelling of 90216147 in words is "ninety million, two hundred sixteen thousand, one hundred forty-seven".

Divisors: 1 3 7 21 419 1257 2933 8799 10253 30759 71771 215313 4296007 12888021 30072049 90216147