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2126104320 = 28351732569
BaseRepresentation
bin111111010111001…
…1100011100000000
312111011122021211110
41332232130130000
513323240314240
6550545443320
7103454405604
oct17656343400
95434567743
102126104320
119a114870a
124b4040540
1327b62a8c2
14162523504
15c69c1c80
hex7eb9c700

2126104320 has 144 divisors (see below), whose sum is σ = 7189892640. Its totient is φ = 533594112.

The previous prime is 2126104319. The next prime is 2126104349. The reversal of 2126104320 is 234016212.

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, 48996 + ... + 81564.

It is an arithmetic number, because the mean of its divisors is an integer number (49929810).

Almost surely, 22126104320 is an apocalyptic number.

2126104320 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 2126104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594946320).

2126104320 is an abundant number, since it is smaller than the sum of its proper divisors (5063788320).

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

2126104320 is a wasteful number, since it uses less digits than its factorization.

2126104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32610 (or 32596 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2126104320 is about 46109.6987628416. The cubic root of 2126104320 is about 1285.8634640309.

The spelling of 2126104320 in words is "two billion, one hundred twenty-six million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 544 640 680 768 816 960 1020 1088 1280 1360 1632 1920 2040 2176 2720 3264 3840 4080 4352 5440 6528 8160 10880 13056 16320 21760 32569 32640 65138 65280 97707 130276 162845 195414 260552 325690 390828 488535 521104 553673 651380 781656 977070 1042208 1107346 1302760 1563312 1661019 1954140 2084416 2214692 2605520 2768365 3126624 3322038 3908280 4168832 4429384 5211040 5536730 6253248 6644076 7816560 8305095 8337664 8858768 10422080 11073460 12506496 13288152 15633120 16610190 17717536 20844160 22146920 25012992 26576304 31266240 33220380 35435072 41688320 44293840 53152608 62532480 66440760 70870144 88587680 106305216 125064960 132881520 141740288 177175360 212610432 265763040 354350720 425220864 531526080 708701440 1063052160 2126104320