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4716560340 = 223458932713
BaseRepresentation
bin1000110010010000…
…01111111111010100
3110011201001002110000
410121020033333110
534124414412330
62100004131300
7224611046532
oct43110177724
913151032400
104716560340
112000414658
12ab7696b30
135a220b70b
1432a59d152
151c9119560
hex11920ffd4

4716560340 has 120 divisors (see below), whose sum is σ = 14962729320. Its totient is φ = 1243579392.

The previous prime is 4716560293. The next prime is 4716560351. The reversal of 4716560340 is 430656174.

It is a happy number.

4716560340 is a `hidden beast` number, since 4 + 7 + 1 + 6 + 5 + 603 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 133541136 + 4583019204 = 11556^2 + 67698^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4716560295 and 4716560304.

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 39 ways as a sum of consecutive naturals, for example, 127824 + ... + 160536.

It is an arithmetic number, because the mean of its divisors is an integer number (124689411).

Almost surely, 24716560340 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 4716560340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7481364660).

4716560340 is an abundant number, since it is smaller than the sum of its proper divisors (10246168980).

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

4716560340 is a wasteful number, since it uses less digits than its factorization.

4716560340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32823 (or 32812 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4716560340 is about 68677.2184934713. The cubic root of 4716560340 is about 1677.0337325725.

The spelling of 4716560340 in words is "four billion, seven hundred sixteen million, five hundred sixty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 89 90 108 135 162 178 180 267 270 324 356 405 445 534 540 801 810 890 1068 1335 1602 1620 1780 2403 2670 3204 4005 4806 5340 7209 8010 9612 12015 14418 16020 24030 28836 32713 36045 48060 65426 72090 98139 130852 144180 163565 196278 294417 327130 392556 490695 588834 654260 883251 981390 1177668 1472085 1766502 1962780 2649753 2911457 2944170 3533004 4416255 5299506 5822914 5888340 8734371 8832510 10599012 11645828 13248765 14557285 17468742 17665020 26203113 26497530 29114570 34937484 43671855 52406226 52995060 58229140 78609339 87343710 104812452 131015565 157218678 174687420 235828017 262031130 314437356 393046695 471656034 524062260 786093390 943312068 1179140085 1572186780 2358280170 4716560340