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122068890 = 23354111027
BaseRepresentation
bin1110100011010…
…01111110011010
322111200202001000
413101221332122
5222222201030
620040205430
73011365656
oct721517632
9274622030
10122068890
11629a5189
1234a69876
131c39c818
14122d7a66
15aab3860
hex7469f9a

122068890 has 64 divisors (see below), whose sum is σ = 333486720. Its totient is φ = 31754880.

The previous prime is 122068879. The next prime is 122068897. The reversal of 122068890 is 98860221.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122068897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5557 + ... + 16583.

It is an arithmetic number, because the mean of its divisors is an integer number (5210730).

Almost surely, 2122068890 is an apocalyptic number.

122068890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122068890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166743360).

122068890 is an abundant number, since it is smaller than the sum of its proper divisors (211417830).

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

122068890 is a wasteful number, since it uses less digits than its factorization.

122068890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11084 (or 11078 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 122068890 is about 11048.4790808509. The cubic root of 122068890 is about 496.0609018394.

The spelling of 122068890 in words is "one hundred twenty-two million, sixty-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 270 369 410 615 738 1107 1230 1845 2214 3690 5535 11027 11070 22054 33081 55135 66162 99243 110270 165405 198486 297729 330810 452107 496215 595458 904214 992430 1356321 1488645 2260535 2712642 2977290 4068963 4521070 6781605 8137926 12206889 13563210 20344815 24413778 40689630 61034445 122068890