Search a number
-
+
159679920 = 24352832351
BaseRepresentation
bin10011000010010…
…00010110110000
3102010110120200010
421201020112300
5311334224140
623502254520
73646154061
oct1141102660
9363416603
10159679920
1182153984
1245587440
132710ab7a
14172c8568
15e042880
hex98485b0

159679920 has 80 divisors (see below), whose sum is σ = 496968192. Its totient is φ = 42412800.

The previous prime is 159679867. The next prime is 159679921. The reversal of 159679920 is 29976951.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 159679920.

It is not an unprimeable number, because it can be changed into a prime (159679921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66745 + ... + 69095.

Almost surely, 2159679920 is an apocalyptic number.

159679920 is a gapful number since it is divisible by the number (10) 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 159679920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248484096).

159679920 is an abundant number, since it is smaller than the sum of its proper divisors (337288272).

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

159679920 is a wasteful number, since it uses less digits than its factorization.

159679920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 48.

The square root of 159679920 is about 12636.4520337000. The cubic root of 159679920 is about 542.5212688186.

The spelling of 159679920 in words is "one hundred fifty-nine million, six hundred seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 283 566 849 1132 1415 1698 2264 2351 2830 3396 4245 4528 4702 5660 6792 7053 8490 9404 11320 11755 13584 14106 16980 18808 22640 23510 28212 33960 35265 37616 47020 56424 67920 70530 94040 112848 141060 188080 282120 564240 665333 1330666 1995999 2661332 3326665 3991998 5322664 6653330 7983996 9979995 10645328 13306660 15967992 19959990 26613320 31935984 39919980 53226640 79839960 159679920