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90830376 = 23337134621
BaseRepresentation
bin1010110100111…
…11011000101000
320022220122212000
411122133120220
5141223033001
613002451000
72152021410
oct532373050
9208818760
1090830376
11472a922a
1226503a60
1315a82bb0
14c0c5640
157e92a86
hex569f628

90830376 has 128 divisors (see below), whose sum is σ = 310598400. Its totient is φ = 23950080.

The previous prime is 90830351. The next prime is 90830413. The reversal of 90830376 is 67303809.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 90830376.

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, 17346 + ... + 21966.

It is an arithmetic number, because the mean of its divisors is an integer number (2426550).

Almost surely, 290830376 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 90830376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155299200).

90830376 is an abundant number, since it is smaller than the sum of its proper divisors (219768024).

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

90830376 is a wasteful number, since it uses less digits than its factorization.

90830376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4656 (or 4646 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 90830376 is about 9530.4971538740. The cubic root of 90830376 is about 449.5144986070.

The spelling of 90830376 in words is "ninety million, eight hundred thirty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4621 4914 6552 9242 9828 13863 18484 19656 27726 32347 36968 41589 55452 60073 64694 83178 97041 110904 120146 124767 129388 166356 180219 194082 240292 249534 258776 291123 332712 360438 388164 420511 480584 499068 540657 582246 720876 776328 841022 873369 998136 1081314 1164492 1261533 1441752 1621971 1682044 1746738 2162628 2328984 2523066 3243942 3364088 3493476 3784599 4325256 5046132 6487884 6986952 7569198 10092264 11353797 12975768 15138396 22707594 30276792 45415188 90830376