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159913000 = 23531312301
BaseRepresentation
bin10011000100000…
…01010000101000
3102010220102101201
421202001100220
5311414204000
623511253544
73651144442
oct1142012050
9363812351
10159913000
11822a3005
124567a2b4
132718cca0
1417349492
15e08b96a
hex9881428

159913000 has 64 divisors (see below), whose sum is σ = 403013520. Its totient is φ = 59040000.

The previous prime is 159912979. The next prime is 159913007. The reversal of 159913000 is 319951.

It can be written as a sum of positive squares in 8 ways, for example, as 1304164 + 158608836 = 1142^2 + 12594^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 159913000.

It is not an unprimeable number, because it can be changed into a prime (159913007) 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, 6850 + ... + 19150.

Almost surely, 2159913000 is an apocalyptic number.

159913000 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 159913000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201506760).

159913000 is an abundant number, since it is smaller than the sum of its proper divisors (243100520).

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

159913000 is a wasteful number, since it uses less digits than its factorization.

159913000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12335 (or 12321 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 28.

The square root of 159913000 is about 12645.6711961050. The cubic root of 159913000 is about 542.7851078404.

The spelling of 159913000 in words is "one hundred fifty-nine million, nine hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 12301 13000 24602 49204 61505 98408 123010 159913 246020 307525 319826 492040 615050 639652 799565 1230100 1279304 1537625 1599130 2460200 3075250 3198260 3997825 6150500 6396520 7995650 12301000 15991300 19989125 31982600 39978250 79956500 159913000