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7972660340 = 2251721379353
BaseRepresentation
bin1110110110011010…
…10010010001110100
3202120121222002221022
413123031102101310
5112312000112330
63355041440312
7401366331461
oct73315222164
922517862838
107972660340
1134213a4797
121666040098
139a098ccc8
14558bcc668
15319de9ae5
hex1db352474

7972660340 has 36 divisors (see below), whose sum is σ = 17785390476. Its totient is φ = 3001469952.

The previous prime is 7972660303. The next prime is 7972660369. The reversal of 7972660340 is 430662797.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1915462756 + 6057197584 = 43766^2 + 77828^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7972660291 and 7972660300.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 683897 + ... + 695456.

Almost surely, 27972660340 is an apocalyptic number.

It is an amenable number.

7972660340 is an abundant number, since it is smaller than the sum of its proper divisors (9812730136).

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

7972660340 is a wasteful number, since it uses less digits than its factorization.

7972660340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379396 (or 1379377 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 44.

The square root of 7972660340 is about 89289.7549554259. The cubic root of 7972660340 is about 1997.7190947244.

The spelling of 7972660340 in words is "seven billion, nine hundred seventy-two million, six hundred sixty thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 1379353 2758706 5517412 6896765 13793530 23449001 27587060 46898002 93796004 117245005 234490010 398633017 468980020 797266034 1594532068 1993165085 3986330170 7972660340