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1013950924 = 2272171731759
BaseRepresentation
bin111100011011111…
…010100111001100
32121122221001011221
4330123322213030
54034032412144
6244340253124
734061304100
oct7433724714
92548831157
101013950924
11480392378
122436a11a4
131320b317c
149893d900
155e039d84
hex3c6fa9cc

1013950924 has 72 divisors (see below), whose sum is σ = 2199415680. Its totient is φ = 406393344.

The previous prime is 1013950901. The next prime is 1013950943. The reversal of 1013950924 is 4290593101.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 1013950924.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575557 + ... + 577315.

It is an arithmetic number, because the mean of its divisors is an integer number (30547440).

Almost surely, 21013950924 is an apocalyptic number.

1013950924 is a gapful number since it is divisible by the number (14) 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 1013950924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099707840).

1013950924 is an abundant number, since it is smaller than the sum of its proper divisors (1185464756).

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

1013950924 is a wasteful number, since it uses less digits than its factorization.

1013950924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 1013950924 is about 31842.5960625072. The cubic root of 1013950924 is about 1004.6288487001.

The spelling of 1013950924 in words is "one billion, thirteen million, nine hundred fifty thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 173 196 238 346 476 692 833 1211 1666 1759 2422 2941 3332 3518 4844 5882 7036 8477 11764 12313 16954 20587 24626 29903 33908 41174 49252 59806 82348 86191 119612 144109 172382 209321 288218 304307 344764 418642 576436 608614 837284 1217228 1465247 2130149 2930494 4260298 5173219 5860988 8520596 10346438 14911043 20692876 29822086 36212533 59644172 72425066 144850132 253487731 506975462 1013950924