Search a number
-
+
122804748 = 22341134457
BaseRepresentation
bin1110101000111…
…01101000001100
322120002010110000
413110131220030
5222414222443
620104044300
73020552223
oct724355014
9276063400
10122804748
1163358030
1235163690
131c599741
1412449cba
15abab8d3
hex751da0c

122804748 has 60 divisors (see below), whose sum is σ = 350231112. Its totient is φ = 37212480.

The previous prime is 122804729. The next prime is 122804767. The reversal of 122804748 is 847408221.

It is an interprime number because it is at equal distance from previous prime (122804729) and next prime (122804767).

It is a super-2 number, since 2×1228047482 = 30162012262687008, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13665 + ... + 20792.

Almost surely, 2122804748 is an apocalyptic number.

122804748 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122804748 is an abundant number, since it is smaller than the sum of its proper divisors (227426364).

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

122804748 is a wasteful number, since it uses less digits than its factorization.

122804748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34484 (or 34473 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 122804748 is about 11081.7303702987. The cubic root of 122804748 is about 497.0556934836.

The spelling of 122804748 in words is "one hundred twenty-two million, eight hundred four thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 34457 68914 103371 137828 206742 310113 379027 413484 620226 758054 930339 1137081 1240452 1516108 1860678 2274162 2791017 3411243 3721356 4548324 5582034 6822486 10233729 11164068 13644972 20467458 30701187 40934916 61402374 122804748