Search a number
-
+
4207045040 = 2451137129209
BaseRepresentation
bin1111101011000010…
…0110100110110000
3101212012022000211222
43322300212212300
532104000420130
61533243324212
7206153202302
oct37260464660
911765260758
104207045040
111869849230
12994b20668
135207a4583
142bca4b972
15199521ce5
hexfac269b0

4207045040 has 80 divisors (see below), whose sum is σ = 10959075360. Its totient is φ = 1488476160.

The previous prime is 4207045027. The next prime is 4207045043. The reversal of 4207045040 is 405407024.

4207045040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4207045043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32045 + ... + 97164.

It is an arithmetic number, because the mean of its divisors is an integer number (136988442).

Almost surely, 24207045040 is an apocalyptic number.

4207045040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4207045040 is an abundant number, since it is smaller than the sum of its proper divisors (6752030320).

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

4207045040 is a wasteful number, since it uses less digits than its factorization.

4207045040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129270 (or 129264 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 26.

The square root of 4207045040 is about 64861.7378737264. The cubic root of 4207045040 is about 1614.3302587084.

The spelling of 4207045040 in words is "four billion, two hundred seven million, forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 55 74 80 88 110 148 176 185 220 296 370 407 440 592 740 814 880 1480 1628 2035 2960 3256 4070 6512 8140 16280 32560 129209 258418 516836 646045 1033672 1292090 1421299 2067344 2584180 2842598 4780733 5168360 5685196 7106495 9561466 10336720 11370392 14212990 19122932 22740784 23903665 28425980 38245864 47807330 52588063 56851960 76491728 95614660 105176126 113703920 191229320 210352252 262940315 382458640 420704504 525880630 841409008 1051761260 2103522520 4207045040