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122342640 = 2435772823
BaseRepresentation
bin1110100101011…
…00110011110000
322112012122112220
413102230303300
5222304431030
620050121040
73013616040
oct722546360
9275178486
10122342640
1163071922
1234b80180
131c4672c4
1412369720
15ab19a10
hex74accf0

122342640 has 80 divisors (see below), whose sum is σ = 433448448. Its totient is φ = 27963648.

The previous prime is 122342629. The next prime is 122342641. The reversal of 122342640 is 46243221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 122342640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122342641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34732 + ... + 38091.

Almost surely, 2122342640 is an apocalyptic number.

122342640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122342640 is an abundant number, since it is smaller than the sum of its proper divisors (311105808).

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

122342640 is a wasteful number, since it uses less digits than its factorization.

122342640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72846 (or 72840 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 122342640 is about 11060.8607260014. The cubic root of 122342640 is about 496.4314447523.

Adding to 122342640 its reverse (46243221), we get a palindrome (168585861).

The spelling of 122342640 in words is "one hundred twenty-two million, three hundred forty-two thousand, six hundred forty".

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 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 72823 145646 218469 291292 364115 436938 509761 582584 728230 873876 1019522 1092345 1165168 1456460 1529283 1747752 2039044 2184690 2548805 2912920 3058566 3495504 4078088 4369380 5097610 5825840 6117132 7646415 8156176 8738760 10195220 12234264 15292830 17477520 20390440 24468528 30585660 40780880 61171320 122342640