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5146680 = 2335711557
BaseRepresentation
bin10011101000100000111000
3100200110220210
4103220200320
52304143210
6302151120
761513620
oct23504070
910613823
105146680
1129a5860
1218824a0
1310b2796
1497d880
156b9e20
hex4e8838

5146680 has 128 divisors (see below), whose sum is σ = 19284480. Its totient is φ = 1067520.

The previous prime is 5146667. The next prime is 5146681. The reversal of 5146680 is 866415.

5146680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5146681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8962 + ... + 9518.

It is an arithmetic number, because the mean of its divisors is an integer number (150660).

Almost surely, 25146680 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 5146680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9642240).

5146680 is an abundant number, since it is smaller than the sum of its proper divisors (14137800).

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

5146680 is a wasteful number, since it uses less digits than its factorization.

5146680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5146680 is about 2268.6295422567. The cubic root of 5146680 is about 172.6536333455.

The spelling of 5146680 in words is "five million, one hundred forty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 557 616 660 770 840 924 1114 1155 1320 1540 1671 1848 2228 2310 2785 3080 3342 3899 4456 4620 5570 6127 6684 7798 8355 9240 11140 11697 12254 13368 15596 16710 18381 19495 22280 23394 24508 30635 31192 33420 36762 38990 42889 46788 49016 58485 61270 66840 73524 77980 85778 91905 93576 116970 122540 128667 147048 155960 171556 183810 214445 233940 245080 257334 343112 367620 428890 467880 514668 643335 735240 857780 1029336 1286670 1715560 2573340 5146680