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122946980 = 225131034591
BaseRepresentation
bin1110101010000…
…00010110100100
322120100100112212
413111000112210
5222433300410
620111102552
73022014002
oct725002644
9276310485
10122946980
1163444982
1235211a58
131c6193c0
1412485a72
15abd8b05
hex75405a4

122946980 has 48 divisors (see below), whose sum is σ = 280809984. Its totient is φ = 44945280.

The previous prime is 122946953. The next prime is 122946991. The reversal of 122946980 is 89649221.

122946980 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1229469802 = 30231919782240800, which contains 22 as substring.

122946980 is strictly pandigital in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24485 + ... + 29075.

It is an arithmetic number, because the mean of its divisors is an integer number (5850208).

Almost surely, 2122946980 is an apocalyptic number.

122946980 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 122946980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140404992).

122946980 is an abundant number, since it is smaller than the sum of its proper divisors (157863004).

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

122946980 is a wasteful number, since it uses less digits than its factorization.

122946980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4716 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 122946980 is about 11088.1459225607. The cubic root of 122946980 is about 497.2475154621.

The spelling of 122946980 in words is "one hundred twenty-two million, nine hundred forty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 103 130 206 260 412 515 1030 1339 2060 2678 4591 5356 6695 9182 13390 18364 22955 26780 45910 59683 91820 119366 238732 298415 472873 596830 945746 1193660 1891492 2364365 4728730 6147349 9457460 12294698 24589396 30736745 61473490 122946980