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1040323024 = 2413172391231
BaseRepresentation
bin111110000000100…
…001000111010000
32200111112212220101
4332000201013100
54112310314044
6251121422144
734531412506
oct7600410720
92614485811
101040323024
114942650a4
1225049a954
131376b7a70
149c246676
15614e8cd4
hex3e0211d0

1040323024 has 80 divisors (see below), whose sum is σ = 2309852160. Its totient is φ = 449648640.

The previous prime is 1040323019. The next prime is 1040323049. The reversal of 1040323024 is 4203230401.

It is a junction number, because it is equal to n+sod(n) for n = 1040322992 and 1040323010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 844489 + ... + 845719.

It is an arithmetic number, because the mean of its divisors is an integer number (28873152).

Almost surely, 21040323024 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 1040323024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154926080).

1040323024 is an abundant number, since it is smaller than the sum of its proper divisors (1269529136).

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

1040323024 is a wasteful number, since it uses less digits than its factorization.

1040323024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 1040323024 is about 32254.0388788753. The cubic root of 1040323024 is about 1013.2642887321.

Adding to 1040323024 its reverse (4203230401), we get a palindrome (5243553425).

The spelling of 1040323024 in words is "one billion, forty million, three hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 239 272 442 478 884 956 1231 1768 1912 2462 3107 3536 3824 4063 4924 6214 8126 9848 12428 16003 16252 19696 20927 24856 32006 32504 41854 49712 52819 64012 65008 83708 105638 128024 167416 211276 256048 272051 294209 334832 422552 544102 588418 845104 1088204 1176836 2176408 2353672 3824717 4352816 4707344 5001553 7649434 10003106 15298868 20006212 30597736 40012424 61195472 65020189 80024848 130040378 260080756 520161512 1040323024