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122978960 = 24513118249
BaseRepresentation
bin1110101010010…
…00001010010000
322120101222102022
413111020022100
5222440311320
620111511012
73022206146
oct725101220
9276358368
10122978960
1163466a05
1235228468
131c62ab20
1412493596
15abe3325
hex7548290

122978960 has 40 divisors (see below), whose sum is σ = 307923000. Its totient is φ = 45407232.

The previous prime is 122978927. The next prime is 122978971. The reversal of 122978960 is 69879221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 123904 + 122855056 = 352^2 + 11084^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 58085 + ... + 60164.

It is an arithmetic number, because the mean of its divisors is an integer number (7698075).

Almost surely, 2122978960 is an apocalyptic number.

122978960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122978960 is an abundant number, since it is smaller than the sum of its proper divisors (184944040).

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

122978960 is a wasteful number, since it uses less digits than its factorization.

122978960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118275 (or 118269 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 122978960 is about 11089.5879093860. The cubic root of 122978960 is about 497.2906250936.

The spelling of 122978960 in words is "one hundred twenty-two million, nine hundred seventy-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 118249 236498 472996 591245 945992 1182490 1537237 1891984 2364980 3074474 4729960 6148948 7686185 9459920 12297896 15372370 24595792 30744740 61489480 122978960