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4020900264 = 233412748859
BaseRepresentation
bin1110111110101010…
…0001000110101000
3101101020000220020000
43233222201012220
531213322302024
61502553503000
7201433042203
oct35752410650
911336026200
104020900264
111783769977
12942711a60
134c105b834
142a203493a
15188002cc9
hexefaa11a8

4020900264 has 80 divisors (see below), whose sum is σ = 11351155200. Its totient is φ = 1329719328.

The previous prime is 4020900203. The next prime is 4020900277. The reversal of 4020900264 is 4620090204.

4020900264 is digitally balanced in base 2, because in such base 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57867 + ... + 106725.

It is an arithmetic number, because the mean of its divisors is an integer number (141889440).

Almost surely, 24020900264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020900264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5675577600).

4020900264 is an abundant number, since it is smaller than the sum of its proper divisors (7330254936).

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

4020900264 is a wasteful number, since it uses less digits than its factorization.

4020900264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49004 (or 48991 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4020900264 is about 63410.5690244142. The cubic root of 4020900264 is about 1590.1610089710.

Adding to 4020900264 its reverse (4620090204), we get a palindrome (8640990468).

The spelling of 4020900264 in words is "four billion, twenty million, nine hundred thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 127 162 216 254 324 381 508 648 762 1016 1143 1524 2286 3048 3429 4572 6858 9144 10287 13716 20574 27432 41148 48859 82296 97718 146577 195436 293154 390872 439731 586308 879462 1172616 1319193 1758924 2638386 3517848 3957579 5276772 6205093 7915158 10553544 12410186 15830316 18615279 24820372 31660632 37230558 49640744 55845837 74461116 111691674 148922232 167537511 223383348 335075022 446766696 502612533 670150044 1005225066 1340300088 2010450132 4020900264