Search a number
-
+
2134058700 = 223527579397
BaseRepresentation
bin111111100110011…
…0010011011001100
312111201121102012010
41333030302123030
513332304334300
6551432141220
7103612125324
oct17714623314
95451542163
102134058700
119a5690984
124b6837810
13280184337
141635d4284
15c7543a50
hex7f3326cc

2134058700 has 72 divisors (see below), whose sum is σ = 6183357712. Its totient is φ = 568270080.

The previous prime is 2134058677. The next prime is 2134058711. The reversal of 2134058700 is 78504312.

It is a super-3 number, since 3×21340587003 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 222402 + ... + 231798.

Almost surely, 22134058700 is an apocalyptic number.

2134058700 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 2134058700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091678856).

2134058700 is an abundant number, since it is smaller than the sum of its proper divisors (4049299012).

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

2134058700 is a wasteful number, since it uses less digits than its factorization.

2134058700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10171 (or 10164 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2134058700 is about 46195.8731923102. The cubic root of 2134058700 is about 1287.4650658193.

The spelling of 2134058700 in words is "two billion, one hundred thirty-four million, fifty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 757 1514 2271 3028 3785 4542 7570 9084 9397 11355 15140 18794 18925 22710 28191 37588 37850 45420 46985 56382 56775 75700 93970 112764 113550 140955 187940 227100 234925 281910 469850 563820 704775 939700 1409550 2819100 7113529 14227058 21340587 28454116 35567645 42681174 71135290 85362348 106702935 142270580 177838225 213405870 355676450 426811740 533514675 711352900 1067029350 2134058700