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90215940 = 223517241367
BaseRepresentation
bin1010110000010…
…01011000000100
320021202110000010
411120021120010
5141043402230
612541350220
72143552143
oct530113004
9207673003
1090215940
1146a19631
1226268370
13158c9319
14bda575a
157dc09b0
hex5609604

90215940 has 96 divisors (see below), whose sum is σ = 269305344. Its totient is φ = 22487040.

The previous prime is 90215903. The next prime is 90215977. The reversal of 90215940 is 4951209.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90215903) and next prime (90215977).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 90215898 and 90215907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245637 + ... + 246003.

It is an arithmetic number, because the mean of its divisors is an integer number (2805264).

Almost surely, 290215940 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 90215940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134652672).

90215940 is an abundant number, since it is smaller than the sum of its proper divisors (179089404).

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

90215940 is a wasteful number, since it uses less digits than its factorization.

90215940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 90215940 is about 9498.2071992561. The cubic root of 90215940 is about 448.4986011796.

The spelling of 90215940 in words is "ninety million, two hundred fifteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 241 255 340 367 482 510 723 734 964 1020 1101 1205 1446 1468 1835 2202 2410 2892 3615 3670 4097 4404 4820 5505 6239 7230 7340 8194 11010 12291 12478 14460 16388 18717 20485 22020 24582 24956 31195 37434 40970 49164 61455 62390 74868 81940 88447 93585 122910 124780 176894 187170 245820 265341 353788 374340 442235 530682 884470 1061364 1326705 1503599 1768940 2653410 3007198 4510797 5306820 6014396 7517995 9021594 15035990 18043188 22553985 30071980 45107970 90215940