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122938368 = 210375717
BaseRepresentation
bin1110101001111…
…10010000000000
322120022220201220
413110332100000
5222433011433
620110555040
73021646620
oct724762000
9276286656
10122938368
1163439463
1235208a80
131c6154c7
1412482880
15abd62b3
hex753e400

122938368 has 88 divisors (see below), whose sum is σ = 374551872. Its totient is φ = 35119104.

The previous prime is 122938357. The next prime is 122938397. The reversal of 122938368 is 863839221.

It is a super-2 number, since 2×1229383682 = 30227684653006848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 7 ways as a sum of consecutive naturals, for example, 18646 + ... + 24362.

Almost surely, 2122938368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122938368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187275936).

122938368 is an abundant number, since it is smaller than the sum of its proper divisors (251613504).

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

122938368 is an equidigital number, since it uses as much as digits as its factorization.

122938368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5747 (or 5729 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 122938368 is about 11087.7575731074. The cubic root of 122938368 is about 497.2359050493.

The spelling of 122938368 in words is "one hundred twenty-two million, nine hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 5717 7168 10752 11434 17151 21504 22868 34302 40019 45736 68604 80038 91472 120057 137208 160076 182944 240114 274416 320152 365888 480228 548832 640304 731776 960456 1097664 1280608 1463552 1920912 2195328 2561216 2927104 3841824 4390656 5122432 5854208 7683648 8781312 10244864 15367296 17562624 20489728 30734592 40979456 61469184 122938368