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13799700 = 22335219269
BaseRepresentation
bin110100101001…
…000100010100
3221222002122000
4310221010110
512013042300
61211435300
7225203235
oct64510424
927862560
1013799700
117875a12
124755b30
132b22205
141b9308c
151328c00
hexd29114

13799700 has 144 divisors (see below), whose sum is σ = 46872000. Its totient is φ = 3473280.

The previous prime is 13799659. The next prime is 13799713. The reversal of 13799700 is 799731.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 51166 + ... + 51434.

It is an arithmetic number, because the mean of its divisors is an integer number (325500).

Almost surely, 213799700 is an apocalyptic number.

13799700 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 13799700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23436000).

13799700 is an abundant number, since it is smaller than the sum of its proper divisors (33072300).

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

13799700 is a wasteful number, since it uses less digits than its factorization.

13799700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 11907, while the sum is 36.

The square root of 13799700 is about 3714.7947453392. The cubic root of 13799700 is about 239.8592925220.

The spelling of 13799700 in words is "thirteen million, seven hundred ninety-nine thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 27 30 36 38 45 50 54 57 60 75 76 90 95 100 108 114 135 150 171 180 190 225 228 269 270 285 300 342 380 450 475 513 538 540 570 675 684 807 855 900 950 1026 1076 1140 1345 1350 1425 1614 1710 1900 2052 2421 2565 2690 2700 2850 3228 3420 4035 4275 4842 5111 5130 5380 5700 6725 7263 8070 8550 9684 10222 10260 12105 12825 13450 14526 15333 16140 17100 20175 20444 24210 25555 25650 26900 29052 30666 36315 40350 45999 48420 51110 51300 60525 61332 72630 76665 80700 91998 102220 121050 127775 137997 145260 153330 181575 183996 229995 242100 255550 275994 306660 363150 383325 459990 511100 551988 689985 726300 766650 919980 1149975 1379970 1533300 2299950 2759940 3449925 4599900 6899850 13799700