Search a number
-
+
2045162880 = 27325355063
BaseRepresentation
bin111100111100110…
…1011010110000000
312021112100001001100
41321321223112000
513142030203010
6534534534400
7101452411665
oct17171532600
95245301040
102045162880
1195a494162
12490b07400
1326792ab67
14155893a6c
15be8342c0
hex79e6b580

2045162880 has 96 divisors (see below), whose sum is σ = 7062222960. Its totient is φ = 545375232.

The previous prime is 2045162879. The next prime is 2045162891. The reversal of 2045162880 is 882615402.

2045162880 is a `hidden beast` number, since 20 + 4 + 5 + 1 + 628 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171772 + ... + 183291.

Almost surely, 22045162880 is an apocalyptic number.

2045162880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045162880 is an abundant number, since it is smaller than the sum of its proper divisors (5017060080).

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

2045162880 is a wasteful number, since it uses less digits than its factorization.

2045162880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355088 (or 355073 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2045162880 is about 45223.4770887865. The cubic root of 2045162880 is about 1269.3341581725.

The spelling of 2045162880 in words is "two billion, forty-five million, one hundred sixty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 355063 710126 1065189 1420252 1775315 2130378 2840504 3195567 3550630 4260756 5325945 5681008 6391134 7101260 8521512 10651890 11362016 12782268 14202520 15977835 17043024 21303780 22724032 25564536 28405040 31955670 34086048 42607560 45448064 51129072 56810080 63911340 68172096 85215120 102258144 113620160 127822680 136344192 170430240 204516288 227240320 255645360 340860480 409032576 511290720 681720960 1022581440 2045162880