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93939090 = 235743101103
BaseRepresentation
bin1011001100101…
…10010110010010
320112202121012120
411212112112102
5143022022330
613153235110
72220316620
oct546262622
9215677176
1093939090
1149031913
1227562a96
1316600b7b
14c694510
1583a8c10
hex5996592

93939090 has 128 divisors (see below), whose sum is σ = 268849152. Its totient is φ = 20563200.

The previous prime is 93939073. The next prime is 93939103. The reversal of 93939090 is 9093939.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 911979 + ... + 912081.

It is an arithmetic number, because the mean of its divisors is an integer number (2100384).

Almost surely, 293939090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93939090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134424576).

93939090 is an abundant number, since it is smaller than the sum of its proper divisors (174910062).

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

93939090 is a wasteful number, since it uses less digits than its factorization.

93939090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264.

The product of its (nonzero) digits is 59049, while the sum is 42.

The square root of 93939090 is about 9692.2180124056. The cubic root of 93939090 is about 454.5853647260.

The spelling of 93939090 in words is "ninety-three million, nine hundred thirty-nine thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 101 103 105 129 202 206 210 215 258 301 303 309 430 505 515 602 606 618 645 707 721 903 1010 1030 1290 1414 1442 1505 1515 1545 1806 2121 2163 3010 3030 3090 3535 3605 4242 4326 4343 4429 4515 7070 7210 8686 8858 9030 10403 10605 10815 13029 13287 20806 21210 21630 21715 22145 26058 26574 30401 31003 31209 43430 44290 52015 60802 62006 62418 65145 66435 72821 91203 93009 104030 130290 132870 145642 152005 155015 156045 182406 186018 218463 304010 310030 312090 364105 436926 447329 456015 465045 728210 894658 912030 930090 1092315 1341987 2184630 2236645 2683974 3131303 4473290 6262606 6709935 9393909 13419870 15656515 18787818 31313030 46969545 93939090