Search a number
-
+
13969920 = 293517107
BaseRepresentation
bin110101010010…
…101000000000
3222021202010110
4311102220000
512034014140
61215231320
7226512426
oct65225000
928252113
1013969920
117981898
124818540
132b81833
141bd9116
15135e380
hexd52a00

13969920 has 160 divisors (see below), whose sum is σ = 47729088. Its totient is φ = 3473408.

The previous prime is 13969913. The next prime is 13969927. The reversal of 13969920 is 2996931.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13969913) and next prime (13969927).

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (13969927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130507 + ... + 130613.

Almost surely, 213969920 is an apocalyptic number.

13969920 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 13969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23864544).

13969920 is an abundant number, since it is smaller than the sum of its proper divisors (33759168).

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

13969920 is a wasteful number, since it uses less digits than its factorization.

13969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 13969920 is about 3737.6356162687. The cubic root of 13969920 is about 240.8414905530.

The spelling of 13969920 in words is "thirteen million, nine hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 107 120 128 136 160 170 192 204 214 240 255 256 272 320 321 340 384 408 428 480 510 512 535 544 640 642 680 768 816 856 960 1020 1070 1088 1280 1284 1360 1536 1605 1632 1712 1819 1920 2040 2140 2176 2560 2568 2720 3210 3264 3424 3638 3840 4080 4280 4352 5136 5440 5457 6420 6528 6848 7276 7680 8160 8560 8704 9095 10272 10880 10914 12840 13056 13696 14552 16320 17120 18190 20544 21760 21828 25680 26112 27285 27392 29104 32640 34240 36380 41088 43520 43656 51360 54570 54784 58208 65280 68480 72760 82176 87312 102720 109140 116416 130560 136960 145520 164352 174624 205440 218280 232832 273920 291040 349248 410880 436560 465664 582080 698496 821760 873120 931328 1164160 1396992 1746240 2328320 2793984 3492480 4656640 6984960 13969920