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122674068 = 223311313331
BaseRepresentation
bin1110100111111…
…01101110010100
322112211111012000
413103331232110
5222401032233
620101155300
73016466226
oct723755624
9275744160
10122674068
1163278930
12350bbb30
131c55210a
1412414416
15ab82d13
hex74fdb94

122674068 has 96 divisors (see below), whose sum is σ = 358256640. Its totient is φ = 35964000.

The previous prime is 122674063. The next prime is 122674073. The reversal of 122674068 is 860476221.

It is an interprime number because it is at equal distance from previous prime (122674063) and next prime (122674073).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122674063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35163 + ... + 38493.

It is an arithmetic number, because the mean of its divisors is an integer number (3731840).

Almost surely, 2122674068 is an apocalyptic number.

122674068 is a gapful number since it is divisible by the number (18) 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 122674068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179128320).

122674068 is an abundant number, since it is smaller than the sum of its proper divisors (235582572).

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

122674068 is a wasteful number, since it uses less digits than its factorization.

122674068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 122674068 is about 11075.8326097860. The cubic root of 122674068 is about 496.8793205747.

The spelling of 122674068 in words is "one hundred twenty-two million, six hundred seventy-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 124 132 186 198 279 297 341 372 396 558 594 682 837 1023 1116 1188 1364 1674 2046 3069 3331 3348 4092 6138 6662 9207 9993 12276 13324 18414 19986 29979 36641 36828 39972 59958 73282 89937 103261 109923 119916 146564 179874 206522 219846 309783 329769 359748 413044 439692 619566 659538 929349 989307 1135871 1239132 1319076 1858698 1978614 2271742 2788047 3407613 3717396 3957228 4543484 5576094 6815226 10222839 11152188 13630452 20445678 30668517 40891356 61337034 122674068