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123397092 = 223272135381
BaseRepresentation
bin1110101101011…
…10001111100100
322121012012222200
413112232033210
5223042201332
620124454500
73025600200
oct726561744
9277165880
10123397092
1163722075
12353aa430
131c746240
1412561b00
15ac7717c
hex75ae3e4

123397092 has 108 divisors (see below), whose sum is σ = 390830076. Its totient is φ = 32538240.

The previous prime is 123397073. The next prime is 123397103. The reversal of 123397092 is 290793321.

It can be written as a sum of positive squares in 2 ways, for example, as 28451556 + 94945536 = 5334^2 + 9744^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20242 + ... + 25622.

It is an arithmetic number, because the mean of its divisors is an integer number (3618797).

Almost surely, 2123397092 is an apocalyptic number.

123397092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123397092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195415038).

123397092 is an abundant number, since it is smaller than the sum of its proper divisors (267432984).

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

123397092 is a wasteful number, since it uses less digits than its factorization.

123397092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5418 (or 5406 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 123397092 is about 11108.4243707197. The cubic root of 123397092 is about 497.8535883523.

The spelling of 123397092 in words is "one hundred twenty-three million, three hundred ninety-seven thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 3276 3822 5381 5733 7644 10762 11466 16143 21524 22932 32286 37667 48429 64572 69953 75334 96858 113001 139906 150668 193716 209859 226002 263669 279812 339003 419718 452004 489671 527338 629577 678006 791007 839436 979342 1054676 1259154 1356012 1469013 1582014 1958684 2373021 2518308 2938026 3164028 3427697 4407039 4746042 5876052 6855394 8814078 9492084 10283091 13710788 17628156 20566182 30849273 41132364 61698546 123397092