Search a number
-
+
2413204020 = 2232513996451
BaseRepresentation
bin1000111111010110…
…1001001000110100
320020011212110120200
42033311221020310
514420240012040
61035243200500
7113541616143
oct21765511064
96204773520
102413204020
111029210997
12574216130
132c5c5c996
1418c6d975a
15e1cd3630
hex8fd69234

2413204020 has 72 divisors (see below), whose sum is σ = 7372790880. Its totient is φ = 638884800.

The previous prime is 2413204007. The next prime is 2413204037. The reversal of 2413204020 is 204023142.

2413204020 is a `hidden beast` number, since 241 + 3 + 20 + 402 + 0 = 666.

2413204020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2413203984 and 2413204002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23206 + ... + 73245.

Almost surely, 22413204020 is an apocalyptic number.

2413204020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2413204020 is an abundant number, since it is smaller than the sum of its proper divisors (4959586860).

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

2413204020 is a wasteful number, since it uses less digits than its factorization.

2413204020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96605 (or 96600 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2413204020 is about 49124.3729730976. The cubic root of 2413204020 is about 1341.3167460755.

Adding to 2413204020 its reverse (204023142), we get a palindrome (2617227162).

The spelling of 2413204020 in words is "two billion, four hundred thirteen million, two hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 139 180 278 417 556 695 834 1251 1390 1668 2085 2502 2780 4170 5004 6255 8340 12510 25020 96451 192902 289353 385804 482255 578706 868059 964510 1157412 1446765 1736118 1929020 2893530 3472236 4340295 5787060 8680590 13406689 17361180 26813378 40220067 53626756 67033445 80440134 120660201 134066890 160880268 201100335 241320402 268133780 402200670 482640804 603301005 804401340 1206602010 2413204020