Search a number
-
+
1013099360 = 255713174093
BaseRepresentation
bin111100011000101…
…010101101100000
32121121022210001112
4330120222231200
54033323134420
6244310122452
734051126310
oct7430525540
92547283045
101013099360
1147a9605a9
12243350428
13131b756a0
149879b440
155de1c8c5
hex3c62ab60

1013099360 has 192 divisors, whose sum is σ = 3119824512. Its totient is φ = 301694976.

The previous prime is 1013099359. The next prime is 1013099363. The reversal of 1013099360 is 639903101.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013099363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245474 + ... + 249566.

It is an arithmetic number, because the mean of its divisors is an integer number (16249086).

Almost surely, 21013099360 is an apocalyptic number.

1013099360 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 1013099360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559912256).

1013099360 is an abundant number, since it is smaller than the sum of its proper divisors (2106725152).

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

1013099360 is a wasteful number, since it uses less digits than its factorization.

1013099360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4145 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 32.

The square root of 1013099360 is about 31829.2217938171. The cubic root of 1013099360 is about 1004.3475249692.

The spelling of 1013099360 in words is "one billion, thirteen million, ninety-nine thousand, three hundred sixty".