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90886640 = 24513281311
BaseRepresentation
bin1010110101011…
…01000111110000
320100000112000212
411122231013300
5141231333030
613004003252
72152344425
oct532550760
9210015025
1090886640
1147337529
1226530528
1315aa26a0
14c0dbd4c
157ea4595
hex56ad1f0

90886640 has 80 divisors (see below), whose sum is σ = 229110336. Its totient is φ = 33331200.

The previous prime is 90886619. The next prime is 90886687. The reversal of 90886640 is 4668809.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292085 + ... + 292395.

Almost surely, 290886640 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 90886640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114555168).

90886640 is an abundant number, since it is smaller than the sum of its proper divisors (138223696).

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

90886640 is a wasteful number, since it uses less digits than its factorization.

90886640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 90886640 is about 9533.4484841530. The cubic root of 90886640 is about 449.6072952553.

The spelling of 90886640 in words is "ninety million, eight hundred eighty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 281 311 520 562 622 1040 1124 1244 1405 1555 2248 2488 2810 3110 3653 4043 4496 4976 5620 6220 7306 8086 11240 12440 14612 16172 18265 20215 22480 24880 29224 32344 36530 40430 58448 64688 73060 80860 87391 146120 161720 174782 292240 323440 349564 436955 699128 873910 1136083 1398256 1747820 2272166 3495640 4544332 5680415 6991280 9088664 11360830 18177328 22721660 45443320 90886640