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2160804780 = 22325313531097
BaseRepresentation
bin1000000011001011…
…0100001110101100
312120120221020220200
42000302310032230
513411131223110
6554225313500
7104355352251
oct20062641654
95516836820
102160804780
11a09799682
12503795890
1328588a214
14166d97428
15c9a786c0
hex80cb43ac

2160804780 has 144 divisors (see below), whose sum is σ = 6791226624. Its totient is φ = 555540480.

The previous prime is 2160804733. The next prime is 2160804781. The reversal of 2160804780 is 874080612.

2160804780 is a `hidden beast` number, since 2 + 1 + 608 + 0 + 47 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2160804781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1969192 + ... + 1970288.

It is an arithmetic number, because the mean of its divisors is an integer number (47161296).

Almost surely, 22160804780 is an apocalyptic number.

2160804780 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 2160804780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395613312).

2160804780 is an abundant number, since it is smaller than the sum of its proper divisors (4630421844).

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

2160804780 is a wasteful number, since it uses less digits than its factorization.

2160804780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2160804780 is about 46484.4574024480. The cubic root of 2160804780 is about 1292.8213353766.

The spelling of 2160804780 in words is "two billion, one hundred sixty million, eight hundred four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 353 372 465 558 620 706 930 1059 1097 1116 1395 1412 1765 1860 2118 2194 2790 3177 3291 3530 4236 4388 5295 5485 5580 6354 6582 7060 9873 10590 10943 10970 12708 13164 15885 16455 19746 21180 21886 21940 31770 32829 32910 34007 39492 43772 49365 54715 63540 65658 65820 68014 98487 98730 102021 109430 131316 136028 164145 170035 196974 197460 204042 218860 306063 328290 340070 387241 393948 408084 492435 510105 612126 656580 680140 774482 984870 1020210 1161723 1224252 1530315 1548964 1936205 1969740 2040420 2323446 3060630 3485169 3872410 4646892 5808615 6121260 6970338 7744820 11617230 12004471 13940676 17425845 23234460 24008942 34851690 36013413 48017884 60022355 69703380 72026826 108040239 120044710 144053652 180067065 216080478 240089420 360134130 432160956 540201195 720268260 1080402390 2160804780