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2131315040 = 25589971543
BaseRepresentation
bin111111100001001…
…0100100101100000
312111112110000121002
41333002110211200
513331104040130
6551253251132
7103546610321
oct17702244540
95445400532
102131315040
119a4087598
124b5933aa8
1327c73357a
141630bc448
15c71a0b45
hex7f094960

2131315040 has 96 divisors (see below), whose sum is σ = 5147634240. Its totient is φ = 833716224.

The previous prime is 2131315027. The next prime is 2131315061. The reversal of 2131315040 is 405131312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 1380509 + ... + 1382051.

It is an arithmetic number, because the mean of its divisors is an integer number (53621190).

Almost surely, 22131315040 is an apocalyptic number.

2131315040 is a gapful number since it is divisible by the number (20) 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 2131315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573817120).

2131315040 is an abundant number, since it is smaller than the sum of its proper divisors (3016319200).

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

2131315040 is a wasteful number, since it uses less digits than its factorization.

2131315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 2131315040 is about 46166.1676988680. The cubic root of 2131315040 is about 1286.9130845509.

Adding to 2131315040 its reverse (405131312), we get a palindrome (2536446352).

The spelling of 2131315040 in words is "two billion, one hundred thirty-one million, three hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 97 160 178 194 356 388 445 485 712 776 890 970 1424 1543 1552 1780 1940 2848 3086 3104 3560 3880 6172 7120 7715 7760 8633 12344 14240 15430 15520 17266 24688 30860 34532 43165 49376 61720 69064 86330 123440 137327 138128 149671 172660 246880 274654 276256 299342 345320 549308 598684 686635 690640 748355 1098616 1197368 1373270 1381280 1496710 2197232 2394736 2746540 2993420 4394464 4789472 5493080 5986840 10986160 11973680 13320719 21972320 23947360 26641438 53282876 66603595 106565752 133207190 213131504 266414380 426263008 532828760 1065657520 2131315040