Search a number
-
+
2652150160 = 245118933863
BaseRepresentation
bin1001111000010100…
…1001100110010000
320211211111012001201
42132011021212100
520412422301120
61115100440544
7122502622132
oct23605114620
96754435051
102652150160
111141084740
12620249154
13333601c2a
141b2339052
15107c8240a
hex9e149990

2652150160 has 80 divisors (see below), whose sum is σ = 6802600320. Its totient is φ = 953553920.

The previous prime is 2652150139. The next prime is 2652150167. The reversal of 2652150160 is 610512562.

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 (2652150167) 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 15 ways as a sum of consecutive naturals, for example, 61389 + ... + 95251.

It is an arithmetic number, because the mean of its divisors is an integer number (85032504).

Almost surely, 22652150160 is an apocalyptic number.

2652150160 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 2652150160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401300160).

2652150160 is an abundant number, since it is smaller than the sum of its proper divisors (4150450160).

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

2652150160 is a wasteful number, since it uses less digits than its factorization.

2652150160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33976 (or 33970 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 2652150160 is about 51499.0306704893. The cubic root of 2652150160 is about 1384.2016729736.

The spelling of 2652150160 in words is "two billion, six hundred fifty-two million, one hundred fifty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 89 110 176 178 220 356 440 445 712 880 890 979 1424 1780 1958 3560 3916 4895 7120 7832 9790 15664 19580 33863 39160 67726 78320 135452 169315 270904 338630 372493 541808 677260 744986 1354520 1489972 1862465 2709040 2979944 3013807 3724930 5959888 6027614 7449860 12055228 14899720 15069035 24110456 29799440 30138070 33151877 48220912 60276140 66303754 120552280 132607508 165759385 241104560 265215016 331518770 530430032 663037540 1326075080 2652150160