Search a number
-
+
2102167840 = 25582715887
BaseRepresentation
bin111110101001100…
…1000100100100000
312102111121012011011
41331103020210200
513301123332330
6544332430304
7103044063133
oct17523104440
95374535134
102102167840
119896898a3
124a8018394
132766997c6
1415d29221a
15c484482a
hex7d4c8920

2102167840 has 48 divisors (see below), whose sum is σ = 4972689792. Its totient is φ = 839797504.

The previous prime is 2102167819. The next prime is 2102167853. The reversal of 2102167840 is 487612012.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 124377 + ... + 140263.

It is an arithmetic number, because the mean of its divisors is an integer number (103597704).

Almost surely, 22102167840 is an apocalyptic number.

2102167840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102167840 is an abundant number, since it is smaller than the sum of its proper divisors (2870521952).

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

2102167840 is a wasteful number, since it uses less digits than its factorization.

2102167840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16729 (or 16721 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 2102167840 is about 45849.4039219705. The cubic root of 2102167840 is about 1281.0196627696.

Adding to 2102167840 its reverse (487612012), we get a palindrome (2589779852).

The spelling of 2102167840 in words is "two billion, one hundred two million, one hundred sixty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 827 1654 3308 4135 6616 8270 13232 15887 16540 26464 31774 33080 63548 66160 79435 127096 132320 158870 254192 317740 508384 635480 1270960 2541920 13138549 26277098 52554196 65692745 105108392 131385490 210216784 262770980 420433568 525541960 1051083920 2102167840