Search a number
-
+
2010104020 = 2251011397159
BaseRepresentation
bin111011111001111…
…1100000011010100
312012002100212100001
41313303330003110
513104041312040
6531243301044
7100545413401
oct16763740324
95162325301
102010104020
119417189a1
1248121a784
132605a4382
14150d692a8
15bb70b59a
hex77cfc0d4

2010104020 has 48 divisors (see below), whose sum is σ = 4294281600. Its totient is φ = 790243200.

The previous prime is 2010104009. The next prime is 2010104039. The reversal of 2010104020 is 204010102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2010103988 and 2010104006.

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, 277201 + ... + 284359.

It is an arithmetic number, because the mean of its divisors is an integer number (89464200).

Almost surely, 22010104020 is an apocalyptic number.

2010104020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010104020 is an abundant number, since it is smaller than the sum of its proper divisors (2284177580).

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

2010104020 is a wasteful number, since it uses less digits than its factorization.

2010104020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7408 (or 7406 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2010104020 is about 44834.1836102767. The cubic root of 2010104020 is about 1262.0391981683.

Adding to 2010104020 its reverse (204010102), we get a palindrome (2214114122).

It can be divided in two parts, 2010 and 104020, that added together give a triangular number (106030 = T460).

The spelling of 2010104020 in words is "two billion, ten million, one hundred four thousand, twenty".

Divisors: 1 2 4 5 10 20 101 139 202 278 404 505 556 695 1010 1390 2020 2780 7159 14039 14318 28078 28636 35795 56156 70195 71590 140390 143180 280780 723059 995101 1446118 1990202 2892236 3615295 3980404 4975505 7230590 9951010 14461180 19902020 100505201 201010402 402020804 502526005 1005052010 2010104020