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6713513460 = 22325433112789
BaseRepresentation
bin1100100000010100…
…00001010111110100
3122022212122211010200
412100022001113310
5102222124412320
63030101520500
7325236631353
oct62012012764
918285584120
106713513460
112935670035
121374413130
1382cb59c94
144798a399a
152945c9290
hex1902815f4

6713513460 has 144 divisors (see below), whose sum is σ = 20912411520. Its totient is φ = 1742388480.

The previous prime is 6713513407. The next prime is 6713513483. The reversal of 6713513460 is 643153176.

6713513460 is a `hidden beast` number, since 67 + 135 + 1 + 3 + 460 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2405746 + ... + 2408534.

It is an arithmetic number, because the mean of its divisors is an integer number (145225080).

Almost surely, 26713513460 is an apocalyptic number.

6713513460 is a gapful number since it is divisible by the number (60) 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 6713513460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456205760).

6713513460 is an abundant number, since it is smaller than the sum of its proper divisors (14198898060).

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

6713513460 is a wasteful number, since it uses less digits than its factorization.

6713513460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3153 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 6713513460 is about 81936.0327328581. The cubic root of 6713513460 is about 1886.4702238305.

The spelling of 6713513460 in words is "six billion, seven hundred thirteen million, five hundred thirteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 311 387 430 516 622 645 774 860 933 1244 1290 1548 1555 1866 1935 2580 2789 2799 3110 3732 3870 4665 5578 5598 6220 7740 8367 9330 11156 11196 13373 13945 13995 16734 18660 25101 26746 27890 27990 33468 40119 41835 50202 53492 55780 55980 66865 80238 83670 100404 119927 120357 125505 133730 160476 167340 200595 239854 240714 251010 267460 359781 401190 479708 481428 502020 599635 601785 719562 802380 867379 1079343 1199270 1203570 1439124 1734758 1798905 2158686 2398540 2407140 2602137 3469516 3597810 4317372 4336895 5204274 5396715 7195620 7806411 8673790 10408548 10793430 13010685 15612822 17347580 21586860 26021370 31225644 37297297 39032055 52042740 74594594 78064110 111891891 149189188 156128220 186486485 223783782 335675673 372972970 447567564 559459455 671351346 745945940 1118918910 1342702692 1678378365 2237837820 3356756730 6713513460