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122672660 = 225113171759
BaseRepresentation
bin1110100111111…
…01011000010100
322112211102020212
413103331120110
5222401011120
620101144552
73016462145
oct723753024
9275742225
10122672660
1163277870
12350bb158
131c551596
1412413acc
15ab826c5
hex74fd614

122672660 has 48 divisors (see below), whose sum is σ = 282078720. Its totient is φ = 44442240.

The previous prime is 122672651. The next prime is 122672713. The reversal of 122672660 is 66276221.

It is a super-2 number, since 2×1226726602 = 30097163022951200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68861 + ... + 70619.

It is an arithmetic number, because the mean of its divisors is an integer number (5876640).

Almost surely, 2122672660 is an apocalyptic number.

122672660 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 122672660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141039360).

122672660 is an abundant number, since it is smaller than the sum of its proper divisors (159406060).

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

122672660 is a wasteful number, since it uses less digits than its factorization.

122672660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 122672660 is about 11075.7690477908. The cubic root of 122672660 is about 496.8774195787.

The spelling of 122672660 in words is "one hundred twenty-two million, six hundred seventy-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 317 634 1268 1585 1759 3170 3487 3518 6340 6974 7036 8795 13948 17435 17590 19349 34870 35180 38698 69740 77396 96745 193490 386980 557603 1115206 2230412 2788015 5576030 6133633 11152060 12267266 24534532 30668165 61336330 122672660