Search a number
-
+
159668496 = 24310132
BaseRepresentation
bin10011000010001…
…01100100010000
3102010110000000000
421201011210100
5311333342441
623502130000
73646105551
oct1141054420
9363400000
10159668496
1182146339
1245580900
1327105900
14172c4328
15e03e2b6
hex9845910

159668496 has 165 divisors, whose sum is σ = 502474629. Its totient is φ = 49128768.

The previous prime is 159668477. The next prime is 159668497. The reversal of 159668496 is 694866951.

It is a happy number.

The square root of 159668496 is 12636.

It is a perfect power (a square), and thus also a powerful number.

159668496 is a `hidden beast` number, since 1 + 5 + 96 + 68 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23619600 + 136048896 = 4860^2 + 11664^2 .

It is a super-2 number, since 2×1596684962 = 50988057229804032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2799360) is a multiple of the sum of its prime divisors (18).

It is not an unprimeable number, because it can be changed into a prime (159668497) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 12282186 + ... + 12282198.

Almost surely, 2159668496 is an apocalyptic number.

159668496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

159668496 is the 12636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159668496

159668496 is an abundant number, since it is smaller than the sum of its proper divisors (342806133).

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

159668496 is an frugal number, since it uses more digits than its factorization.

159668496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 18 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The cubic root of 159668496 is about 542.5083306216.

The spelling of 159668496 in words is "one hundred fifty-nine million, six hundred sixty-eight thousand, four hundred ninety-six".