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1041313040 = 245234331307
BaseRepresentation
bin111110000100010…
…010110100010000
32200120102011221122
4332010102310100
54113034004130
6251154541412
734543005035
oct7604226420
92616364848
101041313040
11494880999
12250897868
13137973581
149c42338c
15616422e5
hex3e112d10

1041313040 has 80 divisors (see below), whose sum is σ = 2534087808. Its totient is φ = 397191168.

The previous prime is 1041313003. The next prime is 1041313057. The reversal of 1041313040 is 403131401.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 796067 + ... + 797373.

Almost surely, 21041313040 is an apocalyptic number.

1041313040 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 1041313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267043904).

1041313040 is an abundant number, since it is smaller than the sum of its proper divisors (1492774768).

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

1041313040 is a wasteful number, since it uses less digits than its factorization.

1041313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1041313040 is about 32269.3823926024. The cubic root of 1041313040 is about 1013.5856087421.

Adding to 1041313040 its reverse (403131401), we get a palindrome (1444444441).

The spelling of 1041313040 in words is "one billion, forty-one million, three hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 433 460 866 920 1307 1732 1840 2165 2614 3464 4330 5228 6535 6928 8660 9959 10456 13070 17320 19918 20912 26140 30061 34640 39836 49795 52280 60122 79672 99590 104560 120244 150305 159344 199180 240488 300610 398360 480976 565931 601220 796720 1131862 1202440 2263724 2404880 2829655 4527448 5659310 9054896 11318620 13016413 22637240 26032826 45274480 52065652 65082065 104131304 130164130 208262608 260328260 520656520 1041313040