Search a number
-
+
2134927960 = 2351113137039
BaseRepresentation
bin111111101000000…
…0110101001011000
312111210020120120221
41333100012221120
513333020143320
6551502525424
7103622405524
oct17720065130
95453216527
102134927960
119a6124a80
124b6b96874
132803c9ba9
1416377cd84
15c76663aa
hex7f406a58

2134927960 has 64 divisors (see below), whose sum is σ = 5280422400. Its totient is φ = 770390400.

The previous prime is 2134927943. The next prime is 2134927961. The reversal of 2134927960 is 697294312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134927961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39121 + ... + 76159.

It is an arithmetic number, because the mean of its divisors is an integer number (82506600).

Almost surely, 22134927960 is an apocalyptic number.

2134927960 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 2134927960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640211200).

2134927960 is an abundant number, since it is smaller than the sum of its proper divisors (3145494440).

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

2134927960 is a wasteful number, since it uses less digits than its factorization.

2134927960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37192 (or 37188 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 2134927960 is about 46205.2806505923. The cubic root of 2134927960 is about 1287.6398485725.

The spelling of 2134927960 in words is "two billion, one hundred thirty-four million, nine hundred twenty-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 131 220 262 440 524 655 1048 1310 1441 2620 2882 5240 5764 7205 11528 14410 28820 37039 57640 74078 148156 185195 296312 370390 407429 740780 814858 1481560 1629716 2037145 3259432 4074290 4852109 8148580 9704218 16297160 19408436 24260545 38816872 48521090 53373199 97042180 106746398 194084360 213492796 266865995 426985592 533731990 1067463980 2134927960