Search a number
-
+
10412440520 = 2356712133203
BaseRepresentation
bin10011011001010000…
…10011101111001000
3222212122211210011012
421230220103233020
5132311041044040
64441114423052
7516013166306
oct115450235710
928778753135
1010412440520
114463607749
122027131a88
13c9c296411
1470ac45276
1540e1cc865
hex26ca13bc8

10412440520 has 64 divisors (see below), whose sum is σ = 23804694720. Its totient is φ = 4098150144.

The previous prime is 10412440513. The next prime is 10412440523. The reversal of 10412440520 is 2504421401.

It is not an unprimeable number, because it can be changed into a prime (10412440523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3249239 + ... + 3252441.

It is an arithmetic number, because the mean of its divisors is an integer number (371948355).

Almost surely, 210412440520 is an apocalyptic number.

10412440520 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 10412440520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11902347360).

10412440520 is an abundant number, since it is smaller than the sum of its proper divisors (13392254200).

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

10412440520 is a wasteful number, since it uses less digits than its factorization.

10412440520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4494 (or 4490 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 10412440520 its reverse (2504421401), we get a palindrome (12916861921).

The spelling of 10412440520 in words is "ten billion, four hundred twelve million, four hundred forty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1213 1340 2426 2680 3203 4852 6065 6406 9704 12130 12812 16015 24260 25624 32030 48520 64060 81271 128120 162542 214601 325084 406355 429202 650168 812710 858404 1073005 1625420 1716808 2146010 3250840 3885239 4292020 7770478 8584040 15540956 19426195 31081912 38852390 77704780 155409560 260311013 520622026 1041244052 1301555065 2082488104 2603110130 5206220260 10412440520