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122805630 = 23255232609
BaseRepresentation
bin1110101000111…
…01110101111110
322120002011122200
413110131311332
5222414240010
620104052330
73020554623
oct724356576
9276064580
10122805630
1163358762
12351640a6
131c599c6c
141244a34a
15ababcc0
hex751dd7e

122805630 has 48 divisors (see below), whose sum is σ = 320027760. Its totient is φ = 32673024.

The previous prime is 122805629. The next prime is 122805673. The reversal of 122805630 is 36508221.

122805630 is a `hidden beast` number, since 1 + 2 + 28 + 0 + 5 + 630 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 122805594 and 122805603.

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, 45766 + ... + 48374.

It is an arithmetic number, because the mean of its divisors is an integer number (6667245).

Almost surely, 2122805630 is an apocalyptic number.

122805630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122805630 is an abundant number, since it is smaller than the sum of its proper divisors (197222130).

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

122805630 is a wasteful number, since it uses less digits than its factorization.

122805630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 122805630 is about 11081.7701654564. The cubic root of 122805630 is about 497.0568834541.

The spelling of 122805630 in words is "one hundred twenty-two million, eight hundred five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 523 1046 1569 2609 2615 3138 4707 5218 5230 7827 7845 9414 13045 15654 15690 23481 23535 26090 39135 46962 47070 78270 117405 234810 1364507 2729014 4093521 6822535 8187042 12280563 13645070 20467605 24561126 40935210 61402815 122805630