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6993140 = 22571119239
BaseRepresentation
bin11010101011010011110100
3111011021210012
4122223103310
53242240030
6405515352
7113304110
oct32532364
914137705
106993140
113a47060
122412b58
1315ab06b
14d00740
15932095
hex6ab4f4

6993140 has 96 divisors (see below), whose sum is σ = 19353600. Its totient is φ = 2056320.

The previous prime is 6993131. The next prime is 6993149. The reversal of 6993140 is 413996.

It is an interprime number because it is at equal distance from previous prime (6993131) and next prime (6993149).

It is a junction number, because it is equal to n+sod(n) for n = 6993097 and 6993106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6993149) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 29141 + ... + 29379.

It is an arithmetic number, because the mean of its divisors is an integer number (201600).

Almost surely, 26993140 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 6993140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9676800).

6993140 is an abundant number, since it is smaller than the sum of its proper divisors (12360460).

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

6993140 is a wasteful number, since it uses less digits than its factorization.

6993140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 6993140 is about 2644.4545751440. The cubic root of 6993140 is about 191.2306087677.

The spelling of 6993140 in words is "six million, nine hundred ninety-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 70 76 77 95 110 133 140 154 190 209 220 239 266 308 380 385 418 478 532 665 770 836 956 1045 1195 1330 1463 1540 1673 2090 2390 2629 2660 2926 3346 4180 4541 4780 5258 5852 6692 7315 8365 9082 10516 13145 14630 16730 18164 18403 22705 26290 29260 31787 33460 36806 45410 49951 52580 63574 73612 90820 92015 99902 127148 158935 184030 199804 249755 317870 349657 368060 499510 635740 699314 999020 1398628 1748285 3496570 6993140