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2042402120 = 235117096547
BaseRepresentation
bin111100110111100…
…1001010101001000
312021100010202222222
41321233021111020
513140323331440
6534355433212
7101420063063
oct17157112510
95240122888
102042402120
11958978a40
1248bbb5808
132671a2385
141553758da
15be48b2b5
hex79bc9548

2042402120 has 64 divisors (see below), whose sum is σ = 5021006400. Its totient is φ = 741530880.

The previous prime is 2042402113. The next prime is 2042402149. The reversal of 2042402120 is 212042402.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308687 + ... + 315233.

It is an arithmetic number, because the mean of its divisors is an integer number (78453225).

Almost surely, 22042402120 is an apocalyptic number.

2042402120 is a gapful number since it is divisible by the number (20) 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 2042402120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510503200).

2042402120 is an abundant number, since it is smaller than the sum of its proper divisors (2978604280).

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

2042402120 is a wasteful number, since it uses less digits than its factorization.

2042402120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7278 (or 7274 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2042402120 is about 45192.9432544507. The cubic root of 2042402120 is about 1268.7627440298.

Adding to 2042402120 its reverse (212042402), we get a palindrome (2254444522).

The spelling of 2042402120 in words is "two billion, forty-two million, four hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 709 1418 2836 3545 5672 6547 7090 7799 13094 14180 15598 26188 28360 31196 32735 38995 52376 62392 65470 72017 77990 130940 144034 155980 261880 288068 311960 360085 576136 720170 1440340 2880680 4641823 9283646 18567292 23209115 37134584 46418230 51060053 92836460 102120106 185672920 204240212 255300265 408480424 510600530 1021201060 2042402120