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90341496 = 23327229883
BaseRepresentation
bin1010110001010…
…00000001111000
320021222211020100
411120220001320
5141111411441
612544155400
72144614200
oct530500170
9207884210
1090341496
1146aa49a3
1226308b60
131594150b
14bdd9400
157de7cb6
hex5628078

90341496 has 144 divisors (see below), whose sum is σ = 294769800. Its totient is φ = 24893568.

The previous prime is 90341443. The next prime is 90341507. The reversal of 90341496 is 69414309.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 90341496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101871 + ... + 102753.

Almost surely, 290341496 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 90341496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147384900).

90341496 is an abundant number, since it is smaller than the sum of its proper divisors (204428304).

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

90341496 is a wasteful number, since it uses less digits than its factorization.

90341496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 924 counting only the distinct ones).

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

The square root of 90341496 is about 9504.8143590498. The cubic root of 90341496 is about 448.7065673366.

The spelling of 90341496 in words is "ninety million, three hundred forty-one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 49 56 58 63 72 84 87 98 116 126 147 168 174 196 203 232 252 261 294 348 392 406 441 504 522 588 609 696 812 882 883 1044 1176 1218 1421 1624 1764 1766 1827 2088 2436 2649 2842 3528 3532 3654 4263 4872 5298 5684 6181 7064 7308 7947 8526 10596 11368 12362 12789 14616 15894 17052 18543 21192 24724 25578 25607 31788 34104 37086 43267 49448 51156 51214 55629 63576 74172 76821 86534 102312 102428 111258 129801 148344 153642 173068 179249 204856 222516 230463 259602 307284 346136 358498 389403 445032 460926 519204 537747 614568 716996 778806 921852 1038408 1075494 1254743 1433992 1557612 1613241 1843704 2150988 2509486 3115224 3226482 3764229 4301976 5018972 6452964 7528458 10037944 11292687 12905928 15056916 22585374 30113832 45170748 90341496