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2402402420 = 2251123346867
BaseRepresentation
bin1000111100110001…
…1100000001110100
320012102112200120102
42033030130001310
514410003334140
61034215453232
7113351040455
oct21714340164
96172480512
102402402420
111023103550
12570687218
132c394a2c2
1418b0c712c
15e0d9ce15
hex8f31c074

2402402420 has 48 divisors (see below), whose sum is σ = 5527424448. Its totient is φ = 869832960.

The previous prime is 2402402407. The next prime is 2402402437. The reversal of 2402402420 is 242042042.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2402402392 and 2402402401.

It is a congruent 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, 27827 + ... + 74693.

It is an arithmetic number, because the mean of its divisors is an integer number (115154676).

Almost surely, 22402402420 is an apocalyptic number.

2402402420 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 2402402420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763712224).

2402402420 is an abundant number, since it is smaller than the sum of its proper divisors (3125022028).

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

2402402420 is a wasteful number, since it uses less digits than its factorization.

2402402420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47120 (or 47118 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2402402420 is about 49014.3083191021. The cubic root of 2402402420 is about 1339.3124898252.

Adding to 2402402420 its reverse (242042042), we get a palindrome (2644444462).

The spelling of 2402402420 in words is "two billion, four hundred two million, four hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 233 466 932 1165 2330 2563 4660 5126 10252 12815 25630 46867 51260 93734 187468 234335 468670 515537 937340 1031074 2062148 2577685 5155370 10310740 10920011 21840022 43680044 54600055 109200110 120120121 218400220 240240242 480480484 600600605 1201201210 2402402420