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1013194728 = 2332713592621
BaseRepresentation
bin111100011001000…
…001111111101000
32121121111121212200
4330121001333220
54033334212403
6244312140200
734052004330
oct7431017750
92547447780
101013194728
1147aa16217
12243397660
13131ba9c10
14987c40c0
155de3aca3
hex3c641fe8

1013194728 has 192 divisors, whose sum is σ = 3435868800. Its totient is φ = 262586880.

The previous prime is 1013194709. The next prime is 1013194729. The reversal of 1013194728 is 8274913101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1013194692 and 1013194701.

It is not an unprimeable number, because it can be changed into a prime (1013194729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385258 + ... + 387878.

It is an arithmetic number, because the mean of its divisors is an integer number (17895150).

Almost surely, 21013194728 is an apocalyptic number.

1013194728 is a gapful number since it is divisible by the number (18) 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 1013194728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717934400).

1013194728 is an abundant number, since it is smaller than the sum of its proper divisors (2422674072).

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

1013194728 is a wasteful number, since it uses less digits than its factorization.

1013194728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1013194728 is about 31830.7198787586. The cubic root of 1013194728 is about 1004.3790386960.

The spelling of 1013194728 in words is "one billion, thirteen million, one hundred ninety-four thousand, seven hundred twenty-eight".