Search a number
-
+
159623920 = 2453753927
BaseRepresentation
bin10011000001110…
…10101011110000
3102010100201212001
421200322223300
5311330431140
623501143344
73645531601
oct1140725360
9363321761
10159623920
11821158a5
124555ab54
13270bb531
14172b1da8
15e030e9a
hex983aaf0

159623920 has 40 divisors (see below), whose sum is σ = 381163104. Its totient is φ = 62122752.

The previous prime is 159623909. The next prime is 159623923. The reversal of 159623920 is 29326951.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 159623920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159623923) 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 7 ways as a sum of consecutive naturals, for example, 24004 + ... + 29923.

Almost surely, 2159623920 is an apocalyptic number.

159623920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

159623920 is an abundant number, since it is smaller than the sum of its proper divisors (221539184).

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

159623920 is a wasteful number, since it uses less digits than its factorization.

159623920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53977 (or 53971 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 159623920 is about 12634.2360275562. The cubic root of 159623920 is about 542.4578403815.

The spelling of 159623920 in words is "one hundred fifty-nine million, six hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 53927 107854 215708 269635 431416 539270 862832 1078540 1995299 2157080 3990598 4314160 7981196 9976495 15962392 19952990 31924784 39905980 79811960 159623920