Search a number
-
+
159690240 = 2932529239
BaseRepresentation
bin10011000010010…
…10111000000000
3102010111002211100
421201022320000
5311340041430
623502414400
73646226133
oct1141127000
9363432740
10159690240
1182160706
1245591400
1327112788
14172cc21a
15e045960
hex984ae00

159690240 has 240 divisors, whose sum is σ = 574516800. Its totient is φ = 40943616.

The previous prime is 159690233. The next prime is 159690259. The reversal of 159690240 is 42096951.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 159690195 and 159690204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668041 + ... + 668279.

It is an arithmetic number, because the mean of its divisors is an integer number (2393820).

Almost surely, 2159690240 is an apocalyptic number.

159690240 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 159690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287258400).

159690240 is an abundant number, since it is smaller than the sum of its proper divisors (414826560).

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

159690240 is a wasteful number, since it uses less digits than its factorization.

159690240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 159690240 is about 12636.8603695697. The cubic root of 159690240 is about 542.5329561552.

The spelling of 159690240 in words is "one hundred fifty-nine million, six hundred ninety thousand, two hundred forty".