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90869360 = 2451378291
BaseRepresentation
bin1010110101010…
…00111001110000
320022222122022212
411122220321300
5141230304420
613003351252
72152243151
oct532507160
9208878285
1090869360
114732554a
1226522528
1315a9786a
14c0d5928
157e9e3c5
hex56a8e70

90869360 has 40 divisors (see below), whose sum is σ = 212839056. Its totient is φ = 36078080.

The previous prime is 90869357. The next prime is 90869399. The reversal of 90869360 is 6396809.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 6815 + ... + 15105.

Almost surely, 290869360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90869360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106419528).

90869360 is an abundant number, since it is smaller than the sum of its proper divisors (121969696).

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

90869360 is a wasteful number, since it uses less digits than its factorization.

90869360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8441 (or 8435 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 90869360 is about 9532.5421583122. The cubic root of 90869360 is about 449.5787992941.

The spelling of 90869360 in words is "ninety million, eight hundred sixty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 5480 8291 10960 16582 33164 41455 66328 82910 132656 165820 331640 663280 1135867 2271734 4543468 5679335 9086936 11358670 18173872 22717340 45434680 90869360