Search a number
-
+
10041079132 = 2272926532
BaseRepresentation
bin10010101100111111…
…01011010101011100
3221220210001200002201
421112133223111130
5131031004013012
64340211101244
7503553523120
oct112637532534
927823050081
1010041079132
114292a22407
121b428a1824
13c40371256
146b37b7580
153db7c4857
hex2567eb55c

10041079132 has 54 divisors (see below), whose sum is σ = 20830424888. Its totient is φ = 4148566464.

The previous prime is 10041079109. The next prime is 10041079141. The reversal of 10041079132 is 23197014001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 10041079132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15376518 + ... + 15377170.

Almost surely, 210041079132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10041079132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10415212444).

10041079132 is an abundant number, since it is smaller than the sum of its proper divisors (10789345756).

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

10041079132 is an frugal number, since it uses more digits than its factorization.

10041079132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

Multiplying 10041079132 by its sum of digits (28), we get a square (281150215696 = 5302362).

10041079132 divided by its sum of digits (28) gives a square (358609969 = 189372).

The spelling of 10041079132 in words is "ten billion, forty-one million, seventy-nine thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 653 812 841 1306 1682 2612 3364 4571 5887 9142 11774 18284 18937 23548 37874 75748 132559 265118 426409 530236 549173 852818 1098346 1705636 2196692 2984863 3844211 5969726 7688422 11939452 12365861 15376844 24731722 49463444 86561027 173122054 346244108 358609969 717219938 1434439876 2510269783 5020539566 10041079132