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20187040 = 255281449
BaseRepresentation
bin100110100000…
…0011110100000
31101222121102011
41031000132200
520131441130
62000402304
7333405226
oct115003640
941877364
1020187040
1110438905
126916394
13424a5c3
142976b16
151b8b52a
hex13407a0

20187040 has 48 divisors (see below), whose sum is σ = 47968200. Its totient is φ = 8028160.

The previous prime is 20187023. The next prime is 20187043. The reversal of 20187040 is 4078102.

It can be written as a sum of positive squares in 4 ways, for example, as 18215824 + 1971216 = 4268^2 + 1404^2 .

It is not an unprimeable number, because it can be changed into a prime (20187043) 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, 44736 + ... + 45184.

Almost surely, 220187040 is an apocalyptic number.

20187040 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 20187040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23984100).

20187040 is an abundant number, since it is smaller than the sum of its proper divisors (27781160).

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

20187040 is a wasteful number, since it uses less digits than its factorization.

20187040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 20187040 is about 4492.9989984419. The cubic root of 20187040 is about 272.2853119234.

The spelling of 20187040 in words is "twenty million, one hundred eighty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 281 449 562 898 1124 1405 1796 2245 2248 2810 3592 4490 4496 5620 7184 8980 8992 11240 14368 17960 22480 35920 44960 71840 126169 252338 504676 630845 1009352 1261690 2018704 2523380 4037408 5046760 10093520 20187040