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2134586970 = 232599723789
BaseRepresentation
bin111111100111011…
…0011011001011010
312111202121020211200
41333032303121122
513332423240340
6551451335030
7103616455425
oct17716633132
95452536750
102134586970
119a5a1186a
124b6a51476
1328030a919
141636d09bc
15c75ea330
hex7f3b365a

2134586970 has 48 divisors (see below), whose sum is σ = 5555726280. Its totient is φ = 568628352.

The previous prime is 2134586959. The next prime is 2134586981. The reversal of 2134586970 is 796854312.

2134586970 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2134586959) and next prime (2134586981).

It can be written as a sum of positive squares in 4 ways, for example, as 1751171409 + 383415561 = 41847^2 + 19581^2 .

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

2134586970 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77836 + ... + 101624.

It is a 1-persistent number, because it is pandigital, but 2⋅2134586970 = 4269173940 is not.

Almost surely, 22134586970 is an apocalyptic number.

2134586970 is an abundant number, since it is smaller than the sum of its proper divisors (3421139310).

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

2134586970 is a wasteful number, since it uses less digits than its factorization.

2134586970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24799 (or 24796 counting only the distinct ones).

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

The square root of 2134586970 is about 46201.5905570360. The cubic root of 2134586970 is about 1287.5712911164.

The spelling of 2134586970 in words is "two billion, one hundred thirty-four million, five hundred eighty-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 997 1994 2991 4985 5982 8973 9970 14955 17946 23789 29910 44865 47578 71367 89730 118945 142734 214101 237890 356835 428202 713670 1070505 2141010 23717633 47435266 71152899 118588165 142305798 213458697 237176330 355764495 426917394 711528990 1067293485 2134586970