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1015145000 = 2354297001
BaseRepresentation
bin111100100000011…
…110001000101000
32121202011201010222
4330200132020220
54034334120000
6244422025212
734104406262
oct7440361050
92552151128
101015145000
11481028511
12243b78208
1313241081c
1498b70b32
155e1c3a85
hex3c81e228

1015145000 has 80 divisors (see below), whose sum is σ = 2460852900. Its totient is φ = 392000000.

The previous prime is 1015144993. The next prime is 1015145009. The reversal of 1015145000 is 5415101.

It can be written as a sum of positive squares in 10 ways, for example, as 94750756 + 920394244 = 9734^2 + 30338^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1015145000.

It is not an unprimeable number, because it can be changed into a prime (1015145009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 141500 + ... + 148500.

Almost surely, 21015145000 is an apocalyptic number.

1015145000 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 1015145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230426450).

1015145000 is an abundant number, since it is smaller than the sum of its proper divisors (1445707900).

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

1015145000 is an equidigital number, since it uses as much as digits as its factorization.

1015145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7056 (or 7037 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 1015145000 is about 31861.3402103552. The cubic root of 1015145000 is about 1005.0230599562.

The spelling of 1015145000 in words is "one billion, fifteen million, one hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 625 725 1000 1160 1250 1450 2500 2900 3625 5000 5800 7001 7250 14002 14500 18125 28004 29000 35005 36250 56008 70010 72500 140020 145000 175025 203029 280040 350050 406058 700100 812116 875125 1015145 1400200 1624232 1750250 2030290 3500500 4060580 4375625 5075725 7001000 8121160 8751250 10151450 17502500 20302900 25378625 35005000 40605800 50757250 101514500 126893125 203029000 253786250 507572500 1015145000