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122104240 = 2452366361
BaseRepresentation
bin1110100011100…
…10100110110000
322111202112112021
413101302212300
5222224313430
620041041224
73011604016
oct721624660
9274675467
10122104240
1162a197a5
1234a86214
131c3b293b
14123068b6
15aabe07a
hex74729b0

122104240 has 40 divisors (see below), whose sum is σ = 296239968. Its totient is φ = 46717440.

The previous prime is 122104237. The next prime is 122104247. The reversal of 122104240 is 42401221.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (122104247) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 31341 + ... + 35020.

Almost surely, 2122104240 is an apocalyptic number.

122104240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122104240 is an abundant number, since it is smaller than the sum of its proper divisors (174135728).

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

122104240 is a wasteful number, since it uses less digits than its factorization.

122104240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66397 (or 66391 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 122104240 is about 11050.0787327512. The cubic root of 122104240 is about 496.1087820716.

Adding to 122104240 its reverse (42401221), we get a palindrome (164505461).

It can be divided in two parts, 12210 and 4240, that multiplied together give a triangular number (51770400 = T10175).

The spelling of 122104240 in words is "one hundred twenty-two million, one hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 66361 132722 265444 331805 530888 663610 1061776 1327220 1526303 2654440 3052606 5308880 6105212 7631515 12210424 15263030 24420848 30526060 61052120 122104240