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122423080 = 235131912391
BaseRepresentation
bin1110100110000…
…00011100101000
322112100201220011
413103000130220
5222320014310
620051541304
73014402413
oct723003450
9275321804
10122423080
11631172aa
1234bba834
131c494ac0
141238ab7a
15ab3378a
hex74c0728

122423080 has 64 divisors (see below), whose sum is σ = 312278400. Its totient is φ = 42819840.

The previous prime is 122423051. The next prime is 122423083. The reversal of 122423080 is 80324221.

It is not an unprimeable number, because it can be changed into a prime (122423083) 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 15 ways as a sum of consecutive naturals, for example, 3685 + ... + 16075.

It is an arithmetic number, because the mean of its divisors is an integer number (4879350).

Almost surely, 2122423080 is an apocalyptic number.

122423080 is a gapful number since it is divisible by the number (10) 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 122423080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156139200).

122423080 is an abundant number, since it is smaller than the sum of its proper divisors (189855320).

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

122423080 is a wasteful number, since it uses less digits than its factorization.

122423080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12434 (or 12430 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 122423080 is about 11064.4963735364. The cubic root of 122423080 is about 496.5402217540.

The spelling of 122423080 in words is "one hundred twenty-two million, four hundred twenty-three thousand, eighty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 494 520 760 988 1235 1976 2470 4940 9880 12391 24782 49564 61955 99128 123910 161083 235429 247820 322166 470858 495640 644332 805415 941716 1177145 1288664 1610830 1883432 2354290 3060577 3221660 4708580 6121154 6443320 9417160 12242308 15302885 24484616 30605770 61211540 122423080