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7145460 = 22325753107
BaseRepresentation
bin11011010000011111110100
3111110000201200
4123100133310
53312123320
6413052500
7114510150
oct33203764
914400650
107145460
114040543
122487130
1316324aa
14d40060
15962290
hex6d07f4

7145460 has 144 divisors (see below), whose sum is σ = 25474176. Its totient is φ = 1587456.

The previous prime is 7145443. The next prime is 7145473. The reversal of 7145460 is 645417.

It is a super-2 number, since 2×71454602 = 102115197223200, which contains 22 as substring.

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, 66727 + ... + 66833.

It is an arithmetic number, because the mean of its divisors is an integer number (176904).

Almost surely, 27145460 is an apocalyptic number.

7145460 is a gapful number since it is divisible by the number (70) 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 7145460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12737088).

7145460 is an abundant number, since it is smaller than the sum of its proper divisors (18328716).

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

7145460 is a wasteful number, since it uses less digits than its factorization.

7145460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 7145460 is about 2673.0993247539. The cubic root of 7145460 is about 192.6090684550.

The spelling of 7145460 in words is "seven million, one hundred forty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 53 60 63 70 84 90 105 106 107 126 140 159 180 210 212 214 252 265 315 318 321 371 420 428 477 530 535 630 636 642 742 749 795 954 963 1060 1070 1113 1260 1284 1484 1498 1590 1605 1855 1908 1926 2140 2226 2247 2385 2996 3180 3210 3339 3710 3745 3852 4452 4494 4770 4815 5565 5671 6420 6678 6741 7420 7490 8988 9540 9630 11130 11235 11342 13356 13482 14980 16695 17013 19260 22260 22470 22684 26964 28355 33390 33705 34026 39697 44940 51039 56710 66780 67410 68052 79394 85065 102078 113420 119091 134820 158788 170130 198485 204156 238182 255195 340260 357273 396970 476364 510390 595455 714546 793940 1020780 1190910 1429092 1786365 2381820 3572730 7145460