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92680434 = 23271126079
BaseRepresentation
bin1011000011000…
…11000011110010
320110101122122200
411201203003302
5142211233214
613110244030
72203525230
oct541430362
9213348580
1092680434
1148352200
1227056616
131627ccc2
14c447950
15820ad09
hex58630f2

92680434 has 72 divisors (see below), whose sum is σ = 252295680. Its totient is φ = 24068880.

The previous prime is 92680403. The next prime is 92680439. The reversal of 92680434 is 43408629.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92680439) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12207 + ... + 18285.

Almost surely, 292680434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92680434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126147840).

92680434 is an abundant number, since it is smaller than the sum of its proper divisors (159615246).

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

92680434 is a wasteful number, since it uses less digits than its factorization.

92680434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6116 (or 6102 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 92680434 is about 9627.0677778854. The cubic root of 92680434 is about 452.5459538406.

The spelling of 92680434 in words is "ninety-two million, six hundred eighty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 363 462 693 726 847 1089 1386 1694 2178 2541 5082 6079 7623 12158 15246 18237 36474 42553 54711 66869 85106 109422 127659 133738 200607 255318 382977 401214 468083 601821 735559 765954 936166 1203642 1404249 1471118 2206677 2808498 4212747 4413354 5148913 6620031 8425494 10297826 13240062 15446739 30893478 46340217 92680434