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2134007260 = 22571111312263
BaseRepresentation
bin111111100110010…
…0101110111011100
312111201111210121221
41333030211313130
513332301213020
6551431103124
7103611522340
oct17714456734
95451453557
102134007260
119a5656270
124b6811aa4
13280166ab8
141635bd620
15c75336aa
hex7f325ddc

2134007260 has 96 divisors (see below), whose sum is σ = 5637123072. Its totient is φ = 659205120.

The previous prime is 2134007257. The next prime is 2134007299. The reversal of 2134007260 is 627004312.

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, 167889 + ... + 180151.

It is an arithmetic number, because the mean of its divisors is an integer number (58720032).

Almost surely, 22134007260 is an apocalyptic number.

2134007260 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 2134007260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818561536).

2134007260 is an abundant number, since it is smaller than the sum of its proper divisors (3503115812).

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

2134007260 is a wasteful number, since it uses less digits than its factorization.

2134007260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12403 (or 12401 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 2134007260 is about 46195.3164292659. The cubic root of 2134007260 is about 1287.4547212530.

The spelling of 2134007260 in words is "two billion, one hundred thirty-four million, seven thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 113 140 154 220 226 308 385 452 565 770 791 1130 1243 1540 1582 2260 2486 3164 3955 4972 6215 7910 8701 12263 12430 15820 17402 24526 24860 34804 43505 49052 61315 85841 87010 122630 134893 171682 174020 245260 269786 343364 429205 539572 674465 858410 944251 1348930 1385719 1716820 1888502 2697860 2771438 3777004 4721255 5542876 6928595 9442510 9700033 13857190 15242909 18885020 19400066 27714380 30485818 38800132 48500165 60971636 76214545 97000330 106700363 152429090 194000660 213400726 304858180 426801452 533501815 1067003630 2134007260