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2134865970 = 2345532232
BaseRepresentation
bin111111100111111…
…0111100000110010
312111210010102120000
41333033313200302
513333011202340
6551501330430
7103622030016
oct17717674062
95453112500
102134865970
119a6092446
124b6b66a16
132803a7903
14163764546
15c7652d30
hex7f3f7832

2134865970 has 120 divisors (see below), whose sum is σ = 5875072236. Its totient is φ = 556051392.

The previous prime is 2134865969. The next prime is 2134866029. The reversal of 2134865970 is 795684312.

2134865970 is a `hidden beast` number, since 2 + 13 + 48 + 6 + 597 + 0 = 666.

2134865970 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2130837921 + 4028049 = 46161^2 + 2007^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

2134865970 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9573279 + ... + 9573501.

It is a 1-persistent number, because it is pandigital, but 2⋅2134865970 = 4269731940 is not.

Almost surely, 22134865970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134865970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937536118).

2134865970 is an abundant number, since it is smaller than the sum of its proper divisors (3740206266).

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

2134865970 is an equidigital number, since it uses as much as digits as its factorization.

2134865970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2134865970 is about 46204.6098349505. The cubic root of 2134865970 is about 1287.6273857684.

The spelling of 2134865970 in words is "two billion, one hundred thirty-four million, eight hundred sixty-five thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 223 265 270 318 405 446 477 530 669 795 810 954 1115 1338 1431 1590 2007 2230 2385 2862 3345 4014 4293 4770 6021 6690 7155 8586 10035 11819 12042 14310 18063 20070 21465 23638 30105 35457 36126 42930 49729 59095 60210 70914 90315 99458 106371 118190 149187 177285 180630 212742 248645 298374 319113 354570 447561 497290 531855 638226 745935 895122 957339 1063710 1342683 1491870 1595565 1914678 2237805 2635637 2685366 3191130 4028049 4475610 4786695 5271274 6713415 7906911 8056098 9573390 13178185 13426830 15813822 20140245 23720733 26356370 39534555 40280490 47441466 71162199 79069110 118603665 142324398 213486597 237207330 355810995 426973194 711621990 1067432985 2134865970