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122652630 = 2345151423
BaseRepresentation
bin1110100111110…
…00011111010110
322112210101210000
413103320133112
5222344341010
620100512130
73016346562
oct723703726
9275711700
10122652630
1163263811
12350ab646
131c545429
141240a6a2
15ab7b7c0
hex74f87d6

122652630 has 40 divisors (see below), whose sum is σ = 329801472. Its totient is φ = 32707152.

The previous prime is 122652623. The next prime is 122652631. The reversal of 122652630 is 36256221.

122652630 is a `hidden beast` number, since 1 + 2 + 2 + 652 + 6 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 122652594 and 122652603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122652631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74902 + ... + 76521.

Almost surely, 2122652630 is an apocalyptic number.

122652630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122652630 is an abundant number, since it is smaller than the sum of its proper divisors (207148842).

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

122652630 is a wasteful number, since it uses less digits than its factorization.

122652630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151442 (or 151433 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 122652630 is about 11074.8647847276. The cubic root of 122652630 is about 496.8503747141.

The spelling of 122652630 in words is "one hundred twenty-two million, six hundred fifty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 151423 302846 454269 757115 908538 1362807 1514230 2271345 2725614 4088421 4542690 6814035 8176842 12265263 13628070 20442105 24530526 40884210 61326315 122652630