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90970320 = 24357173313
BaseRepresentation
bin1010110110000…
…01100011010000
320100011202211010
411123001203100
5141242022240
613005450520
72153143410
oct533014320
9210152733
1090970320
1147394391
1226570a40
1315b017bc
14c120640
157ebe280
hex56c18d0

90970320 has 160 divisors (see below), whose sum is σ = 325193472. Its totient is φ = 20606976.

The previous prime is 90970301. The next prime is 90970343. The reversal of 90970320 is 2307909.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290484 + ... + 290796.

Almost surely, 290970320 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 90970320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162596736).

90970320 is an abundant number, since it is smaller than the sum of its proper divisors (234223152).

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

90970320 is a wasteful number, since it uses less digits than its factorization.

90970320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 90970320 is about 9537.8362326054. The cubic root of 90970320 is about 449.7452385135.

The spelling of 90970320 in words is "ninety million, nine hundred seventy thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 173 210 240 280 313 336 346 420 519 560 626 692 840 865 939 1038 1211 1252 1384 1565 1680 1730 1878 2076 2191 2422 2504 2595 2768 3130 3460 3633 3756 4152 4382 4695 4844 5008 5190 6055 6260 6573 6920 7266 7512 8304 8764 9390 9688 10380 10955 12110 12520 13146 13840 14532 15024 17528 18165 18780 19376 20760 21910 24220 25040 26292 29064 32865 35056 36330 37560 41520 43820 48440 52584 54149 58128 65730 72660 75120 87640 96880 105168 108298 131460 145320 162447 175280 216596 262920 270745 290640 324894 379043 433192 525840 541490 649788 758086 812235 866384 1082980 1137129 1299576 1516172 1624470 1895215 2165960 2274258 2599152 3032344 3248940 3790430 4331920 4548516 5685645 6064688 6497880 7580860 9097032 11371290 12995760 15161720 18194064 22742580 30323440 45485160 90970320