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122063968 = 2513222571
BaseRepresentation
bin1110100011010…
…00110001100000
322111200111021201
413101220301200
5222222021333
620040130544
73011345425
oct721506140
9274614251
10122063968
11629a1514
1234a66a54
131c39a500
14122d5d4c
15aab217d
hex7468c60

122063968 has 36 divisors (see below), whose sum is σ = 260232588. Its totient is φ = 56334720.

The previous prime is 122063959. The next prime is 122063969. The reversal of 122063968 is 869360221.

It is a super-2 number, since 2×1220639682 = 29799224567810048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122063969) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5878 + ... + 16693.

It is an arithmetic number, because the mean of its divisors is an integer number (7228683).

Almost surely, 2122063968 is an apocalyptic number.

It is an amenable number.

122063968 is an abundant number, since it is smaller than the sum of its proper divisors (138168620).

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

122063968 is a wasteful number, since it uses less digits than its factorization.

122063968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22607 (or 22586 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 122063968 is about 11048.2563330147. The cubic root of 122063968 is about 496.0542344442.

The spelling of 122063968 in words is "one hundred twenty-two million, sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 5408 22571 45142 90284 180568 293423 361136 586846 722272 1173692 2347384 3814499 4694768 7628998 9389536 15257996 30515992 61031984 122063968