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6830913700 = 22521322323563
BaseRepresentation
bin1100101110010011…
…10111100010100100
3122122001120100222201
412113021313202210
5102442203214300
63045454104244
7331163544202
oct62711674244
918561510881
106830913700
112995966626
1213a77ab084
1384b283790
1448b304072
1529ea6966a
hex1972778a4

6830913700 has 72 divisors (see below), whose sum is σ = 16035584768. Its totient is φ = 2510766720.

The previous prime is 6830913647. The next prime is 6830913707. The reversal of 6830913700 is 73190386.

It is a super-2 number, since 2×68309137002 = 93322763953695380000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6830913700.

It is not an unprimeable number, because it can be changed into a prime (6830913707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278119 + ... + 301681.

Almost surely, 26830913700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6830913700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8017792384).

6830913700 is an abundant number, since it is smaller than the sum of its proper divisors (9204671068).

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

6830913700 is a wasteful number, since it uses less digits than its factorization.

6830913700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23813 (or 23806 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 6830913700 is about 82649.3418001620. The cubic root of 6830913700 is about 1897.4030726254.

The spelling of 6830913700 in words is "six billion, eight hundred thirty million, nine hundred thirteen thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 223 260 325 446 650 892 1115 1300 2230 2899 4460 5575 5798 11150 11596 14495 22300 23563 28990 47126 57980 72475 94252 117815 144950 235630 289900 306319 471260 589075 612638 1178150 1225276 1531595 2356300 3063190 5254549 6126380 7657975 10509098 15315950 21018196 26272745 30631900 52545490 68309137 105090980 131363725 136618274 262727450 273236548 341545685 525454900 683091370 1366182740 1707728425 3415456850 6830913700