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122948280 = 23355713139
BaseRepresentation
bin1110101010000…
…00101010111000
322120100102100000
413111000222320
5222433321110
620111113000
73022020540
oct725005270
9276312300
10122948280
1163445954
1235212760
131c619b80
1412486320
15abd91c0
hex7540ab8

122948280 has 384 divisors, whose sum is σ = 513676800. Its totient is φ = 25754112.

The previous prime is 122948269. The next prime is 122948311. The reversal of 122948280 is 82849221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 884451 + ... + 884589.

It is an arithmetic number, because the mean of its divisors is an integer number (1337700).

Almost surely, 2122948280 is an apocalyptic number.

122948280 is a gapful number since it is divisible by the number (10) 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 122948280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256838400).

122948280 is an abundant number, since it is smaller than the sum of its proper divisors (390728520).

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

122948280 is a wasteful number, since it uses less digits than its factorization.

122948280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 122948280 is about 11088.2045435679. The cubic root of 122948280 is about 497.2492680319.

The spelling of 122948280 in words is "one hundred twenty-two million, nine hundred forty-eight thousand, two hundred eighty".