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122690064 = 24373111779
BaseRepresentation
bin1110101000000…
…01101000010000
322112212022010110
413110001220100
5222402040224
620101401320
73016563660
oct724015020
9275768113
10122690064
1163289952
1235109240
131c559493
141241a1a0
15ab87929
hex7501a10

122690064 has 80 divisors (see below), whose sum is σ = 373944320. Its totient is φ = 33920640.

The previous prime is 122690041. The next prime is 122690083. The reversal of 122690064 is 460096221.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4527 + ... + 16305.

It is an arithmetic number, because the mean of its divisors is an integer number (4674304).

Almost surely, 2122690064 is an apocalyptic number.

122690064 is a gapful number since it is divisible by the number (14) 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 122690064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186972160).

122690064 is an abundant number, since it is smaller than the sum of its proper divisors (251254256).

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

122690064 is a wasteful number, since it uses less digits than its factorization.

122690064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11828 (or 11822 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 122690064 is about 11076.5546990028. The cubic root of 122690064 is about 496.9009163809.

The spelling of 122690064 in words is "one hundred twenty-two million, six hundred ninety thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 10416 11779 23558 35337 47116 70674 82453 94232 141348 164906 188464 247359 282696 329812 365149 494718 565392 659624 730298 989436 1095447 1319248 1460596 1978872 2190894 2556043 2921192 3957744 4381788 5112086 5842384 7668129 8763576 10224172 15336258 17527152 20448344 30672516 40896688 61345032 122690064