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151538500 = 22531991523
BaseRepresentation
bin10010000100001…
…00101101000100
3101120010221202001
421002010231010
5302243213000
623011555044
73520025131
oct1102045504
9346127661
10151538500
11785a3133
12428bba84
132551a269
14161a9588
15d48546a
hex9084b44

151538500 has 48 divisors (see below), whose sum is σ = 332841600. Its totient is φ = 60271200.

The previous prime is 151538479. The next prime is 151538503. The reversal of 151538500 is 5835151.

It is not an unprimeable number, because it can be changed into a prime (151538503) 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, 98739 + ... + 100261.

It is an arithmetic number, because the mean of its divisors is an integer number (6934200).

Almost surely, 2151538500 is an apocalyptic number.

151538500 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 151538500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166420800).

151538500 is an abundant number, since it is smaller than the sum of its proper divisors (181303100).

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

151538500 is a wasteful number, since it uses less digits than its factorization.

151538500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 28.

The square root of 151538500 is about 12310.0974813362. The cubic root of 151538500 is about 533.1396649251.

It can be divided in two parts, 15153 and 8500, that added together give a triangular number (23653 = T217).

The spelling of 151538500 in words is "one hundred fifty-one million, five hundred thirty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 199 250 398 500 796 995 1523 1990 3046 3980 4975 6092 7615 9950 15230 19900 24875 30460 38075 49750 76150 99500 152300 190375 303077 380750 606154 761500 1212308 1515385 3030770 6061540 7576925 15153850 30307700 37884625 75769250 151538500