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2690712192 = 27377912671
BaseRepresentation
bin1010000001100001…
…0000001010000000
320221112001100020010
42200120100022000
521002310242232
61122555144520
7123451450650
oct24030201200
96845040203
102690712192
111160922993
12631145140
1333b5b40bc
141b74d6360
1510b34d0cc
hexa0610280

2690712192 has 128 divisors (see below), whose sum is σ = 8272281600. Its totient is φ = 758983680.

The previous prime is 2690712139. The next prime is 2690712203. The reversal of 2690712192 is 2912170962.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2690712192.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206017 + ... + 218687.

It is an arithmetic number, because the mean of its divisors is an integer number (64627200).

Almost surely, 22690712192 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 2690712192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136140800).

2690712192 is an abundant number, since it is smaller than the sum of its proper divisors (5581569408).

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

2690712192 is a wasteful number, since it uses less digits than its factorization.

2690712192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12774 (or 12762 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 2690712192 is about 51872.0752621292. The cubic root of 2690712192 is about 1390.8781422106.

The spelling of 2690712192 in words is "two billion, six hundred ninety million, seven hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 128 158 168 192 224 237 316 336 384 448 474 553 632 672 896 948 1106 1264 1344 1659 1896 2212 2528 2688 3318 3792 4424 5056 6636 7584 8848 10112 12671 13272 15168 17696 25342 26544 30336 35392 38013 50684 53088 70784 76026 88697 101368 106176 152052 177394 202736 212352 266091 304104 354788 405472 532182 608208 709576 810944 1001009 1064364 1216416 1419152 1621888 2002018 2128728 2432832 2838304 3003027 4004036 4257456 4865664 5676608 6006054 7007063 8008072 8514912 11353216 12012108 14014126 16016144 17029824 21021189 24024216 28028252 32032288 34059648 42042378 48048432 56056504 64064576 84084756 96096864 112113008 128129152 168169512 192193728 224226016 336339024 384387456 448452032 672678048 896904064 1345356096 2690712192