Search a number
-
+
13769700 = 2235277983
BaseRepresentation
bin110100100001…
…101111100100
3221220120110220
4310201233210
512011112300
61211044340
7225016620
oct64415744
927816426
1013769700
11785541a
1247406b0
132b11669
141b86180
15131eda0
hexd21be4

13769700 has 144 divisors (see below), whose sum is σ = 46663680. Its totient is φ = 3070080.

The previous prime is 13769689. The next prime is 13769719. The reversal of 13769700 is 796731.

13769700 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165859 + ... + 165941.

Almost surely, 213769700 is an apocalyptic number.

13769700 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 13769700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23331840).

13769700 is an abundant number, since it is smaller than the sum of its proper divisors (32893980).

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

13769700 is a wasteful number, since it uses less digits than its factorization.

13769700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 33.

The square root of 13769700 is about 3710.7546402316. The cubic root of 13769700 is about 239.6853515540.

The spelling of 13769700 in words is "thirteen million, seven hundred sixty-nine thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 79 83 84 100 105 140 150 158 166 175 210 237 249 300 316 332 350 395 415 420 474 498 525 553 581 700 790 830 948 996 1050 1106 1162 1185 1245 1580 1659 1660 1743 1975 2075 2100 2212 2324 2370 2490 2765 2905 3318 3486 3950 4150 4740 4980 5530 5810 5925 6225 6557 6636 6972 7900 8295 8300 8715 11060 11620 11850 12450 13114 13825 14525 16590 17430 19671 23700 24900 26228 27650 29050 32785 33180 34860 39342 41475 43575 45899 55300 58100 65570 78684 82950 87150 91798 98355 131140 137697 163925 165900 174300 183596 196710 229495 275394 327850 393420 458990 491775 550788 655700 688485 917980 983550 1147475 1376970 1967100 2294950 2753940 3442425 4589900 6884850 13769700