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880131990 = 235176172797
BaseRepresentation
bin110100011101011…
…011111110010110
32021100010100010010
4310131123332112
53300303210430
6223200141050
730544666323
oct6435337626
92240110103
10880131990
114118a2211
12206907786
1311045b37a
1484c67b4a
1552404cb0
hex3475bf96

880131990 has 64 divisors (see below), whose sum is σ = 2240996544. Its totient is φ = 220459008.

The previous prime is 880131911. The next prime is 880131997. The reversal of 880131990 is 99131088.

It is a happy number.

880131990 is a nontrivial binomial coefficient, being equal to C(41956, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880131997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313272 + ... + 316068.

It is an arithmetic number, because the mean of its divisors is an integer number (35015571).

Almost surely, 2880131990 is an apocalyptic number.

880131990 is the 41955-th triangular number and also the 20978-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 880131990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120498272).

880131990 is an abundant number, since it is smaller than the sum of its proper divisors (1360864554).

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

880131990 is a wasteful number, since it uses less digits than its factorization.

880131990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441.

The product of its (nonzero) digits is 15552, while the sum is 39.

The square root of 880131990 is about 29667.0185559655. The cubic root of 880131990 is about 958.3318795861.

It can be divided in two parts, 880 and 131990, that added together give a triangular number (132870 = T515).

The spelling of 880131990 in words is "eight hundred eighty million, one hundred thirty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 617 1234 1851 2797 3085 3702 5594 6170 8391 9255 10489 13985 16782 18510 20978 27970 31467 41955 47549 52445 62934 83910 95098 104890 142647 157335 237745 285294 314670 475490 713235 1426470 1725749 3451498 5177247 8628745 10354494 17257490 25886235 29337733 51772470 58675466 88013199 146688665 176026398 293377330 440065995 880131990