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122930652 = 22313292937
BaseRepresentation
bin1110101001111…
…00010111011100
322120022112011010
413110330113130
5222432240102
620110455220
73021615255
oct724742734
9276275133
10122930652
1163433689
1235204510
131c611b40
141247db2c
15abd3d6c
hex753c5dc

122930652 has 72 divisors (see below), whose sum is σ = 320263216. Its totient is φ = 36481536.

The previous prime is 122930573. The next prime is 122930683. The reversal of 122930652 is 256039221.

It is a super-2 number, since 2×1229306522 = 30223890402290208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130728 + ... + 131664.

Almost surely, 2122930652 is an apocalyptic number.

122930652 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 122930652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160131608).

122930652 is an abundant number, since it is smaller than the sum of its proper divisors (197332564).

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

122930652 is a wasteful number, since it uses less digits than its factorization.

122930652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 122930652 is about 11087.4096163171. The cubic root of 122930652 is about 497.2255021334.

Adding to 122930652 its reverse (256039221), we get a palindrome (378969873).

The spelling of 122930652 in words is "one hundred twenty-two million, nine hundred thirty thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 841 937 1131 1508 1682 1874 2262 2523 2811 3364 3748 4524 5046 5622 10092 10933 11244 12181 21866 24362 27173 32799 36543 43732 48724 54346 65598 73086 81519 108692 131196 146172 163038 326076 353249 706498 788017 1059747 1412996 1576034 2119494 2364051 3152068 4238988 4728102 9456204 10244221 20488442 30732663 40976884 61465326 122930652