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90068368 = 24132367281
BaseRepresentation
bin1010101111001…
…01010110010000
320021110221120111
411113211112100
5141024141433
612534251104
72142365665
oct527452620
9207427514
1090068368
1146928775
12261b6a94
13158770c0
14bd67a6c
157d91dcd
hex55e5590

90068368 has 80 divisors (see below), whose sum is σ = 199737216. Its totient is φ = 39029760.

The previous prime is 90068353. The next prime is 90068369. The reversal of 90068368 is 86386009.

It is a super-2 number, since 2×900683682 = 16224621828366848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90068368.

It is not an unprimeable number, because it can be changed into a prime (90068369) 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, 320388 + ... + 320668.

Almost surely, 290068368 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 90068368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99868608).

90068368 is an abundant number, since it is smaller than the sum of its proper divisors (109668848).

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

90068368 is a wasteful number, since it uses less digits than its factorization.

90068368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 90068368 is about 9490.4356064408. The cubic root of 90068368 is about 448.2539217414.

The spelling of 90068368 in words is "ninety million, sixty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 23 26 46 52 67 92 104 134 184 208 268 281 299 368 536 562 598 871 1072 1124 1196 1541 1742 2248 2392 3082 3484 3653 4496 4784 6164 6463 6968 7306 12328 12926 13936 14612 18827 20033 24656 25852 29224 37654 40066 51704 58448 75308 80132 84019 103408 150616 160264 168038 244751 301232 320528 336076 433021 489502 672152 866042 979004 1344304 1732084 1958008 3464168 3916016 5629273 6928336 11258546 22517092 45034184 90068368