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151625000 = 23561213
BaseRepresentation
bin10010000100110…
…01110100101000
3101120022100101202
421002121310220
5302304000000
623013503332
73520535252
oct1102316450
9346270352
10151625000
117865211a
1242941b48
132554a747
14161cccd2
15d4a0dd5
hex9099d28

151625000 has 56 divisors (see below), whose sum is σ = 355659510. Its totient is φ = 60600000.

The previous prime is 151624987. The next prime is 151625003. The reversal of 151625000 is 526151.

It can be written as a sum of positive squares in 7 ways, for example, as 121572676 + 30052324 = 11026^2 + 5482^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (151625003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 124394 + ... + 125606.

Almost surely, 2151625000 is an apocalyptic number.

151625000 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 151625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177829755).

151625000 is an abundant number, since it is smaller than the sum of its proper divisors (204034510).

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

151625000 is an frugal number, since it uses more digits than its factorization.

151625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 151625000 is about 12313.6103560248. The cubic root of 151625000 is about 533.2410864762.

The spelling of 151625000 in words is "one hundred fifty-one million, six hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1213 1250 2426 2500 3125 4852 5000 6065 6250 9704 12130 12500 15625 24260 25000 30325 31250 48520 60650 62500 121300 125000 151625 242600 303250 606500 758125 1213000 1516250 3032500 3790625 6065000 7581250 15162500 18953125 30325000 37906250 75812500 151625000