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107047590 = 23513833307
BaseRepresentation
bin1100110000101…
…10101010100110
321110102120200120
412120112222212
5204401010330
614342222410
72436614046
oct630265246
9243376616
10107047590
1155475491
122ba24a06
1319240590
1410307726
1595e7c10
hex6616aa6

107047590 has 64 divisors (see below), whose sum is σ = 280094976. Its totient is φ = 26024832.

The previous prime is 107047579. The next prime is 107047601. The reversal of 107047590 is 95740701.

It is an interprime number because it is at equal distance from previous prime (107047579) and next prime (107047601).

It is a super-2 number, since 2×1070475902 = 22918373049616200, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 30717 + ... + 34023.

It is an arithmetic number, because the mean of its divisors is an integer number (4376484).

Almost surely, 2107047590 is an apocalyptic number.

107047590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107047590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140047488).

107047590 is an abundant number, since it is smaller than the sum of its proper divisors (173047386).

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

107047590 is a wasteful number, since it uses less digits than its factorization.

107047590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413.

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 107047590 is about 10346.3805265416. The cubic root of 107047590 is about 474.8163130939.

The spelling of 107047590 in words is "one hundred seven million, forty-seven thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 83 130 166 195 249 390 415 498 830 1079 1245 2158 2490 3237 3307 5395 6474 6614 9921 10790 16185 16535 19842 32370 33070 42991 49605 85982 99210 128973 214955 257946 274481 429910 548962 644865 823443 1289730 1372405 1646886 2744810 3568253 4117215 7136506 8234430 10704759 17841265 21409518 35682530 53523795 107047590