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90704016 = 24331331521
BaseRepresentation
bin1010110100000…
…00100010010000
320022200020112000
411122000202100
5141210012031
613000034000
72150654124
oct532004220
9208606460
1090704016
11472222a7
1226462900
1315a3a520
14c091584
157e6a3e6
hex5680890

90704016 has 160 divisors (see below), whose sum is σ = 289981440. Its totient is φ = 26956800.

The previous prime is 90703981. The next prime is 90704051. The reversal of 90704016 is 61040709.

It is an interprime number because it is at equal distance from previous prime (90703981) and next prime (90704051).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 173836 + ... + 174356.

It is an arithmetic number, because the mean of its divisors is an integer number (1812384).

Almost surely, 290704016 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 90704016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144990720).

90704016 is an abundant number, since it is smaller than the sum of its proper divisors (199277424).

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

90704016 is a wasteful number, since it uses less digits than its factorization.

90704016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 90704016 is about 9523.8656017397. The cubic root of 90704016 is about 449.3059523233.

The spelling of 90704016 in words is "ninety million, seven hundred four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 36 39 48 52 54 62 72 78 93 104 108 117 124 144 156 186 208 216 234 248 279 312 351 372 403 432 468 496 521 558 624 702 744 806 837 936 1042 1116 1209 1404 1488 1563 1612 1674 1872 2084 2232 2418 2808 3126 3224 3348 3627 4168 4464 4689 4836 5616 6252 6448 6696 6773 7254 8336 9378 9672 10881 12504 13392 13546 14067 14508 16151 18756 19344 20319 21762 25008 27092 28134 29016 32302 37512 40638 43524 48453 54184 56268 58032 60957 64604 75024 81276 87048 96906 108368 112536 121914 129208 145359 162552 174096 182871 193812 209963 225072 243828 258416 290718 325104 365742 387624 419926 436077 487656 581436 629889 731484 775248 839852 872154 975312 1162872 1259778 1462968 1679704 1744308 1889667 2325744 2519556 2925936 3359408 3488616 3779334 5039112 5669001 6977232 7558668 10078224 11338002 15117336 22676004 30234672 45352008 90704016