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2090318292 = 2233231675039
BaseRepresentation
bin111110010010111…
…1011100111010100
312101200022011122000
41330211323213110
513240110141132
6543230435300
7102541261266
oct17445734724
95350264560
102090318292
11982a26087
124a4062b30
132740ab13a
1415b889b36
15c37a387c
hex7c97b9d4

2090318292 has 96 divisors (see below), whose sum is σ = 5689958400. Its totient is φ = 662355936.

The previous prime is 2090318287. The next prime is 2090318299. The reversal of 2090318292 is 2928130902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2090318299) 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, 412309 + ... + 417347.

It is an arithmetic number, because the mean of its divisors is an integer number (59270400).

Almost surely, 22090318292 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 2090318292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844979200).

2090318292 is an abundant number, since it is smaller than the sum of its proper divisors (3599640108).

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

2090318292 is a wasteful number, since it uses less digits than its factorization.

2090318292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5242 (or 5234 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2090318292 is about 45719.9988188976. The cubic root of 2090318292 is about 1278.6081656570.

The spelling of 2090318292 in words is "two billion, ninety million, three hundred eighteen thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 167 207 276 334 414 501 621 668 828 1002 1242 1503 2004 2484 3006 3841 4509 5039 6012 7682 9018 10078 11523 15117 15364 18036 20156 23046 30234 34569 45351 46092 60468 69138 90702 103707 115897 136053 138276 181404 207414 231794 272106 347691 414828 463588 544212 695382 841513 1043073 1390764 1683026 2086146 2524539 3129219 3366052 4172292 5049078 6258438 7573617 10098156 12516876 15147234 19354799 22720851 30294468 38709598 45441702 58064397 77419196 90883404 116128794 174193191 232257588 348386382 522579573 696772764 1045159146 2090318292