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13699000 = 2353719103
BaseRepresentation
bin110100010000…
…011110111000
3221202222111101
4310100132320
512001332000
61205341144
7224303530
oct64203670
927688441
1013699000
117807297
1247077b4
132ab8423
141b684c0
151308e6a
hexd107b8

13699000 has 128 divisors (see below), whose sum is σ = 38937600. Its totient is φ = 4406400.

The previous prime is 13698989. The next prime is 13699001. The reversal of 13699000 is 99631.

It is a happy number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 13699000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13699001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132949 + ... + 133051.

It is an arithmetic number, because the mean of its divisors is an integer number (304200).

Almost surely, 213699000 is an apocalyptic number.

13699000 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 13699000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19468800).

13699000 is an abundant number, since it is smaller than the sum of its proper divisors (25238600).

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

13699000 is a wasteful number, since it uses less digits than its factorization.

13699000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 13699000 is about 3701.2160163925. The cubic root of 13699000 is about 239.2744290257.

The spelling of 13699000 in words is "thirteen million, six hundred ninety-nine thousand".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 103 125 133 140 152 175 190 200 206 250 266 280 350 380 412 475 500 515 532 665 700 721 760 824 875 950 1000 1030 1064 1330 1400 1442 1750 1900 1957 2060 2375 2575 2660 2884 3325 3500 3605 3800 3914 4120 4750 5150 5320 5768 6650 7000 7210 7828 9500 9785 10300 12875 13300 13699 14420 15656 16625 18025 19000 19570 20600 25750 26600 27398 28840 33250 36050 39140 48925 51500 54796 66500 68495 72100 78280 90125 97850 103000 109592 133000 136990 144200 180250 195700 244625 273980 342475 360500 391400 489250 547960 684950 721000 978500 1369900 1712375 1957000 2739800 3424750 6849500 13699000