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13699140 = 22357132193
BaseRepresentation
bin110100010000…
…100001000100
3221202222200120
4310100201010
512001333030
61205341540
7224304120
oct64204104
927688616
1013699140
117807404
1247078b0
132ab8500
141b68580
151309010
hexd10844

13699140 has 144 divisors (see below), whose sum is σ = 47714688. Its totient is φ = 2875392.

The previous prime is 13699129. The next prime is 13699159. The reversal of 13699140 is 4199631.

13699140 = T49 + T50 + ... + T434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70884 + ... + 71076.

It is an arithmetic number, because the mean of its divisors is an integer number (331352).

Almost surely, 213699140 is an apocalyptic number.

13699140 is a gapful number since it is divisible by the number (10) 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 13699140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23857344).

13699140 is an abundant number, since it is smaller than the sum of its proper divisors (34015548).

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

13699140 is a wasteful number, since it uses less digits than its factorization.

13699140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 13699140 is about 3701.2349290473. The cubic root of 13699140 is about 239.2752441292.

It can be divided in two parts, 13 and 699140, that added together give a triangular number (699153 = T1182).

The spelling of 13699140 in words is "thirteen million, six hundred ninety-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 169 182 193 195 210 260 273 338 364 386 390 420 455 507 546 579 676 772 780 845 910 965 1014 1092 1158 1183 1351 1365 1690 1820 1930 2028 2316 2366 2509 2535 2702 2730 2895 3380 3549 3860 4053 4732 5018 5070 5404 5460 5790 5915 6755 7098 7527 8106 10036 10140 11580 11830 12545 13510 14196 15054 16212 17563 17745 20265 23660 25090 27020 30108 32617 35126 35490 37635 40530 50180 52689 65234 70252 70980 75270 81060 87815 97851 105378 130468 150540 163085 175630 195702 210756 228319 263445 326170 351260 391404 456638 489255 526890 652340 684957 913276 978510 1053780 1141595 1369914 1957020 2283190 2739828 3424785 4566380 6849570 13699140