Search a number
-
+
159828672 = 2631635107
BaseRepresentation
bin10011000011011…
…00101011000000
3102010202010201110
421201230223000
5311404004142
623505403320
73650343543
oct1141545300
9363663643
10159828672
1182245713
1245639540
13271607a3
141732685a
15e07199c
hex986cac0

159828672 has 56 divisors (see below), whose sum is σ = 425557696. Its totient is φ = 52939008.

The previous prime is 159828671. The next prime is 159828673. The reversal of 159828672 is 276828951.

It is an interprime number because it is at equal distance from previous prime (159828671) and next prime (159828673).

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

It is not an unprimeable number, because it can be changed into a prime (159828671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28743 + ... + 33849.

Almost surely, 2159828672 is an apocalyptic number.

159828672 is a gapful number since it is divisible by the number (12) 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 159828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212778848).

159828672 is an abundant number, since it is smaller than the sum of its proper divisors (265729024).

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

159828672 is a wasteful number, since it uses less digits than its factorization.

159828672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285 (or 5275 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 159828672 is about 12642.3364929114. The cubic root of 159828672 is about 542.6896808881.

The spelling of 159828672 in words is "one hundred fifty-nine million, eight hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 163 192 326 489 652 978 1304 1956 2608 3912 5107 5216 7824 10214 10432 15321 15648 20428 30642 31296 40856 61284 81712 122568 163424 245136 326848 490272 832441 980544 1664882 2497323 3329764 4994646 6659528 9989292 13319056 19978584 26638112 39957168 53276224 79914336 159828672