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90402 = 23131961
BaseRepresentation
bin10110000100100010
311121000020
4112010202
510343102
61534310
7524364
oct260442
9147006
1090402
1161a14
1244396
13321c0
1424d34
151bbbc
hex16122

90402 has 32 divisors (see below), whose sum is σ = 208320. Its totient is φ = 25920.

The previous prime is 90401. The next prime is 90403. The reversal of 90402 is 20409.

It is an interprime number because it is at equal distance from previous prime (90401) and next prime (90403).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (90401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1452 + ... + 1512.

It is an arithmetic number, because the mean of its divisors is an integer number (6510).

290402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104160).

90402 is an abundant number, since it is smaller than the sum of its proper divisors (117918).

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

90402 is a wasteful number, since it uses less digits than its factorization.

90402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 90402 is about 300.6692534996. The cubic root of 90402 is about 44.8806715054.

The spelling of 90402 in words is "ninety thousand, four hundred two".

Divisors: 1 2 3 6 13 19 26 38 39 57 61 78 114 122 183 247 366 494 741 793 1159 1482 1586 2318 2379 3477 4758 6954 15067 30134 45201 90402