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122376672 = 25321138629
BaseRepresentation
bin1110100101101…
…01000111100000
322112021101020100
413102311013200
5222312023142
620050542400
73014120205
oct722650740
9275241210
10122376672
1163095450
1234b97a00
131c479942
1412377cac
15ab24b4c
hex74b51e0

122376672 has 72 divisors (see below), whose sum is σ = 379655640. Its totient is φ = 37082880.

The previous prime is 122376643. The next prime is 122376713. The reversal of 122376672 is 276673221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16147 + ... + 22482.

It is an arithmetic number, because the mean of its divisors is an integer number (5272995).

Almost surely, 2122376672 is an apocalyptic number.

122376672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122376672 is an abundant number, since it is smaller than the sum of its proper divisors (257278968).

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

122376672 is a wasteful number, since it uses less digits than its factorization.

122376672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38656 (or 38645 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 122376672 is about 11062.3990164882. The cubic root of 122376672 is about 496.4774711926.

The spelling of 122376672 in words is "one hundred twenty-two million, three hundred seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 38629 77258 115887 154516 231774 309032 347661 424919 463548 618064 695322 849838 927096 1236128 1274757 1390644 1699676 1854192 2549514 2781288 3399352 3708384 3824271 5099028 5562576 6798704 7648542 10198056 11125152 13597408 15297084 20396112 30594168 40792224 61188336 122376672