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19931310 = 23257171861
BaseRepresentation
bin100110000001…
…0000010101110
31101111121121200
41030002002232
520100300220
61551110330
7331261530
oct114020256
941447550
1019931310
1110283763
1268123a6
13418b099
14290b850
151b3a890
hex13020ae

19931310 has 96 divisors (see below), whose sum is σ = 62741952. Its totient is φ = 4285440.

The previous prime is 19931309. The next prime is 19931347. The reversal of 19931310 is 1313991.

It is a super-2 number, since 2×199313102 = 794514236632200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9780 + ... + 11640.

It is an arithmetic number, because the mean of its divisors is an integer number (653562).

Almost surely, 219931310 is an apocalyptic number.

19931310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19931310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31370976).

19931310 is an abundant number, since it is smaller than the sum of its proper divisors (42810642).

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

19931310 is a wasteful number, since it uses less digits than its factorization.

19931310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The square root of 19931310 is about 4464.4495741357. The cubic root of 19931310 is about 271.1306496390.

The spelling of 19931310 in words is "nineteen million, nine hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 51 63 70 85 90 102 105 119 126 153 170 210 238 255 306 315 357 510 595 630 714 765 1071 1190 1530 1785 1861 2142 3570 3722 5355 5583 9305 10710 11166 13027 16749 18610 26054 27915 31637 33498 39081 55830 63274 65135 78162 83745 94911 117243 130270 158185 167490 189822 195405 221459 234486 284733 316370 390810 442918 474555 569466 586215 664377 949110 1107295 1172430 1328754 1423665 1993131 2214590 2847330 3321885 3986262 6643770 9965655 19931310