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152535000 = 2335410169
BaseRepresentation
bin10010001011101…
…11111111011000
3101122000120200110
421011313333120
5303022110000
623045204320
73531345312
oct1105677730
9348016613
10152535000
1179113892
12431006a0
13257a89c7
14163887b2
15d5d0850
hex9177fd8

152535000 has 80 divisors (see below), whose sum is σ = 476566200. Its totient is φ = 40672000.

The previous prime is 152534989. The next prime is 152535013. The reversal of 152535000 is 535251.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9916 + ... + 20084.

Almost surely, 2152535000 is an apocalyptic number.

152535000 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 152535000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238283100).

152535000 is an abundant number, since it is smaller than the sum of its proper divisors (324031200).

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

152535000 is a wasteful number, since it uses less digits than its factorization.

152535000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10198 (or 10179 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 152535000 is about 12350.5060625061. The cubic root of 152535000 is about 534.3057346699.

The spelling of 152535000 in words is "one hundred fifty-two million, five hundred thirty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3750 5000 7500 10169 15000 20338 30507 40676 50845 61014 81352 101690 122028 152535 203380 244056 254225 305070 406760 508450 610140 762675 1016900 1220280 1271125 1525350 2033800 2542250 3050700 3813375 5084500 6101400 6355625 7626750 10169000 12711250 15253500 19066875 25422500 30507000 38133750 50845000 76267500 152535000