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1505125000 = 235612041
BaseRepresentation
bin101100110110110…
…0110001010001000
310212220011021100101
41121231212022020
511040303000000
6405204015144
752204231351
oct13155461210
93786137311
101505125000
11702670765
123600914b4
131aca97c12
14103c78d28
158c20ce6a
hex59b66288

1505125000 has 56 divisors (see below), whose sum is σ = 3527884530. Its totient is φ = 602000000.

The previous prime is 1505124997. The next prime is 1505125003. The reversal of 1505125000 is 5215051.

It is an interprime number because it is at equal distance from previous prime (1505124997) and next prime (1505125003).

It can be written as a sum of positive squares in 7 ways, for example, as 699814116 + 805310884 = 26454^2 + 28378^2 .

It is not an unprimeable number, because it can be changed into a prime (1505125003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 118980 + ... + 131020.

Almost surely, 21505125000 is an apocalyptic number.

1505125000 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 1505125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763942265).

1505125000 is an abundant number, since it is smaller than the sum of its proper divisors (2022759530).

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

1505125000 is an frugal number, since it uses more digits than its factorization.

1505125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12077 (or 12048 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 19.

The square root of 1505125000 is about 38795.9405092852. The cubic root of 1505125000 is about 1146.0164629249.

The spelling of 1505125000 in words is "one billion, five hundred five million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 12041 12500 15625 24082 25000 31250 48164 60205 62500 96328 120410 125000 240820 301025 481640 602050 1204100 1505125 2408200 3010250 6020500 7525625 12041000 15051250 30102500 37628125 60205000 75256250 150512500 188140625 301025000 376281250 752562500 1505125000