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122746020 = 22353755291
BaseRepresentation
bin1110101000011…
…11010010100100
322112222010212220
413110033102210
5222410333040
620102512340
73020216055
oct724172244
9275863786
10122746020
11633179a1
12351356b0
131c578aa7
141243272c
15ab992d0
hex750f4a4

122746020 has 48 divisors (see below), whose sum is σ = 352984128. Its totient is φ = 31847040.

The previous prime is 122746003. The next prime is 122746033. The reversal of 122746020 is 20647221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25426 + ... + 29865.

It is an arithmetic number, because the mean of its divisors is an integer number (7353836).

Almost surely, 2122746020 is an apocalyptic number.

122746020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122746020 is an abundant number, since it is smaller than the sum of its proper divisors (230238108).

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

122746020 is a wasteful number, since it uses less digits than its factorization.

122746020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55340 (or 55338 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 122746020 is about 11079.0802867386. The cubic root of 122746020 is about 496.9764464356.

The spelling of 122746020 in words is "one hundred twenty-two million, seven hundred forty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 55291 110582 165873 221164 276455 331746 552910 663492 829365 1105820 1658730 2045767 3317460 4091534 6137301 8183068 10228835 12274602 20457670 24549204 30686505 40915340 61373010 122746020