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122404240 = 2457218579
BaseRepresentation
bin1110100101110…
…11110110010000
322112022210001101
413102323312100
5222313413430
620051314144
73014263450
oct722736620
9275283041
10122404240
1163104132
1234bab954
131c48935a
1412383d60
15ab2cdca
hex74bbd90

122404240 has 40 divisors (see below), whose sum is σ = 325247040. Its totient is φ = 41966976.

The previous prime is 122404193. The next prime is 122404241. The reversal of 122404240 is 42404221.

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

It is not an unprimeable number, because it can be changed into a prime (122404241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108730 + ... + 109849.

It is an arithmetic number, because the mean of its divisors is an integer number (8131176).

Almost surely, 2122404240 is an apocalyptic number.

122404240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122404240 is an abundant number, since it is smaller than the sum of its proper divisors (202842800).

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

122404240 is a wasteful number, since it uses less digits than its factorization.

122404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218599 (or 218593 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 122404240 is about 11063.6449689964. The cubic root of 122404240 is about 496.5147491669.

Subtracting from 122404240 its sum of digits (19), we obtain a palindrome (122404221).

Adding to 122404240 its reverse (42404221), we get a palindrome (164808461).

The spelling of 122404240 in words is "one hundred twenty-two million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 218579 437158 874316 1092895 1530053 1748632 2185790 3060106 3497264 4371580 6120212 7650265 8743160 12240424 15300530 17486320 24480848 30601060 61202120 122404240