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2126701940 = 2251167223647
BaseRepresentation
bin111111011000010…
…1110010101110100
312111012202122121112
41332300232111310
513323413430230
6551010334152
7103462445126
oct17660562564
95435678545
102126701940
119a1516710
124b428a358
1327b7a991c
1416263b216
15c6a8dd95
hex7ec2e574

2126701940 has 96 divisors (see below), whose sum is σ = 4974649344. Its totient is φ = 757215360.

The previous prime is 2126701931. The next prime is 2126701961. The reversal of 2126701940 is 491076212.

It is a happy number.

It is a super-2 number, since 2×21267019402 = 9045722283199527200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2126701897 and 2126701906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3286697 + ... + 3287343.

It is an arithmetic number, because the mean of its divisors is an integer number (51819264).

Almost surely, 22126701940 is an apocalyptic number.

2126701940 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 2126701940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487324672).

2126701940 is an abundant number, since it is smaller than the sum of its proper divisors (2847947404).

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

2126701940 is a wasteful number, since it uses less digits than its factorization.

2126701940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 2126701940 is about 46116.1787228734. The cubic root of 2126701940 is about 1285.9839325213.

The spelling of 2126701940 in words is "two billion, one hundred twenty-six million, seven hundred one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 223 268 335 446 647 670 737 892 1115 1294 1340 1474 2230 2453 2588 2948 3235 3685 4460 4906 6470 7117 7370 9812 12265 12940 14234 14740 14941 24530 28468 29882 35585 43349 49060 59764 71170 74705 86698 142340 144281 149410 164351 173396 216745 288562 298820 328702 433490 476839 577124 657404 721405 821755 866980 953678 1442810 1587091 1643510 1907356 2384195 2885620 3174182 3287020 4768390 6348364 7935455 9536780 9666827 15870910 19333654 31741820 38667308 48334135 96668270 106335097 193336540 212670194 425340388 531675485 1063350970 2126701940