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90348930 = 23257612351
BaseRepresentation
bin1010110001010…
…01110110000010
320022000012102200
411120221312002
5141112131210
612544254030
72144644650
oct530516602
9208005380
1090348930
1146aaa541
1226311316
1315944a09
14bddbdd0
157dea0c0
hex5629d82

90348930 has 96 divisors (see below), whose sum is σ = 272982528. Its totient is φ = 20304000.

The previous prime is 90348919. The next prime is 90349019. The reversal of 90348930 is 3984309.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37255 + ... + 39605.

It is an arithmetic number, because the mean of its divisors is an integer number (2843568).

Almost surely, 290348930 is an apocalyptic number.

90348930 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90348930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136491264).

90348930 is an abundant number, since it is smaller than the sum of its proper divisors (182633598).

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

90348930 is a wasteful number, since it uses less digits than its factorization.

90348930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 90348930 is about 9505.2054159813. The cubic root of 90348930 is about 448.7188746862.

The spelling of 90348930 in words is "ninety million, three hundred forty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 61 63 70 90 105 122 126 183 210 305 315 366 427 549 610 630 854 915 1098 1281 1830 2135 2351 2562 2745 3843 4270 4702 5490 6405 7053 7686 11755 12810 14106 16457 19215 21159 23510 32914 35265 38430 42318 49371 70530 82285 98742 105795 143411 148113 164570 211590 246855 286822 296226 430233 493710 717055 740565 860466 1003877 1290699 1434110 1481130 2007754 2151165 2581398 3011631 4302330 5019385 6023262 6453495 9034893 10038770 12906990 15058155 18069786 30116310 45174465 90348930