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13412700 = 22325272129
BaseRepresentation
bin110011001010…
…100101011100
3221020102202200
4303022211130
511413201300
61155251500
7222002040
oct63124534
927212680
1013412700
117631184
1245a9b90
132a18012
141ad2020
15129e200
hexcca95c

13412700 has 108 divisors (see below), whose sum is σ = 48069840. Its totient is φ = 3064320.

The previous prime is 13412683. The next prime is 13412701. The reversal of 13412700 is 721431.

13412700 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13412701) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5236 + ... + 7364.

Almost surely, 213412700 is an apocalyptic number.

13412700 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 13412700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24034920).

13412700 is an abundant number, since it is smaller than the sum of its proper divisors (34657140).

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

13412700 is a wasteful number, since it uses less digits than its factorization.

13412700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 13412700 is about 3662.3353205298. The cubic root of 13412700 is about 237.5957877701.

The spelling of 13412700 in words is "thirteen million, four hundred twelve thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 2129 3150 4258 6300 6387 8516 10645 12774 14903 19161 21290 25548 29806 31935 38322 42580 44709 53225 59612 63870 74515 76644 89418 95805 106450 127740 134127 149030 159675 178836 191610 212900 223545 268254 298060 319350 372575 383220 447090 479025 536508 638700 670635 745150 894180 958050 1117725 1341270 1490300 1916100 2235450 2682540 3353175 4470900 6706350 13412700