Search a number
-
+
2699071380 = 2232527754133
BaseRepresentation
bin1010000011100000…
…1000111110010100
320222002210000212200
42200320020332110
521011430241010
61123454244500
7123612504525
oct24070107624
96862700780
102699071380
111165612305
12633ab6730
1334024cb75
141b867084c
1510be4ecc0
hexa0e08f94

2699071380 has 72 divisors (see below), whose sum is σ = 8216891592. Its totient is φ = 717140736.

The previous prime is 2699071339. The next prime is 2699071381. The reversal of 2699071380 is 831709962.

2699071380 is a `hidden beast` number, since 269 + 9 + 0 + 7 + 1 + 380 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 145588356 + 2553483024 = 12066^2 + 50532^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2699071381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22794 + ... + 76926.

Almost surely, 22699071380 is an apocalyptic number.

2699071380 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 2699071380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108445796).

2699071380 is an abundant number, since it is smaller than the sum of its proper divisors (5517820212).

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

2699071380 is a wasteful number, since it uses less digits than its factorization.

2699071380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54425 (or 54420 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2699071380 is about 51952.5878085009. The cubic root of 2699071380 is about 1392.3169920666.

The spelling of 2699071380 in words is "two billion, six hundred ninety-nine million, seventy-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 277 554 831 1108 1385 1662 2493 2770 3324 4155 4986 5540 8310 9972 12465 16620 24930 49860 54133 108266 162399 216532 270665 324798 487197 541330 649596 811995 974394 1082660 1623990 1948788 2435985 3247980 4871970 9743940 14994841 29989682 44984523 59979364 74974205 89969046 134953569 149948410 179938092 224922615 269907138 299896820 449845230 539814276 674767845 899690460 1349535690 2699071380