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159434240 = 295723141
BaseRepresentation
bin10011000000011…
…00011000000000
3102010000002122212
421200030120000
5311303343430
623453121252
73644111600
oct1140143000
9363002585
10159434240
1181aa6339
1245489228
13270530b4
1417262c00
15dee4b95
hex980c600

159434240 has 240 divisors, whose sum is σ = 470219904. Its totient is φ = 51609600.

The previous prime is 159434213. The next prime is 159434269. The reversal of 159434240 is 42434951.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 159434197 and 159434206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3888620 + ... + 3888660.

Almost surely, 2159434240 is an apocalyptic number.

159434240 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 159434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235109952).

159434240 is an abundant number, since it is smaller than the sum of its proper divisors (310785664).

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

159434240 is an equidigital number, since it uses as much as digits as its factorization.

159434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 159434240 is about 12626.7272085842. The cubic root of 159434240 is about 542.2428889174.

The spelling of 159434240 in words is "one hundred fifty-nine million, four hundred thirty-four thousand, two hundred forty".