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122892640 = 2551359083
BaseRepresentation
bin1110101001100…
…11000101100000
322120020121000021
413110303011200
5222430031030
620110003224
73021366403
oct724630540
9276217007
10122892640
1163408072
12351a6514
131c5ca750
141246dd3a
15abc797a
hex7533160

122892640 has 48 divisors (see below), whose sum is σ = 312672528. Its totient is φ = 45374976.

The previous prime is 122892631. The next prime is 122892661. The reversal of 122892640 is 46298221.

It is a junction number, because it is equal to n+sod(n) for n = 122892596 and 122892605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27462 + ... + 31621.

It is an arithmetic number, because the mean of its divisors is an integer number (6514011).

Almost surely, 2122892640 is an apocalyptic number.

122892640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122892640 is an abundant number, since it is smaller than the sum of its proper divisors (189779888).

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

122892640 is a wasteful number, since it uses less digits than its factorization.

122892640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59111 (or 59103 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 122892640 is about 11085.6952871708. The cubic root of 122892640 is about 497.1742469909.

The spelling of 122892640 in words is "one hundred twenty-two million, eight hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 59083 118166 236332 295415 472664 590830 768079 945328 1181660 1536158 1890656 2363320 3072316 3840395 4726640 6144632 7680790 9453280 12289264 15361580 24578528 30723160 61446320 122892640