Search a number
-
+
13954440 = 23351031129
BaseRepresentation
bin110101001110…
…110110001000
3222020221220010
4311032312020
512033020230
61215031520
7226416333
oct65166610
928227803
1013954440
1179711a5
12480b5a0
132b77786
141bd361a
1513599b0
hexd4ed88

13954440 has 64 divisors (see below), whose sum is σ = 42307200. Its totient is φ = 3681792.

The previous prime is 13954397. The next prime is 13954453. The reversal of 13954440 is 4445931.

13954440 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 13954398 and 13954407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11796 + ... + 12924.

It is an arithmetic number, because the mean of its divisors is an integer number (661050).

Almost surely, 213954440 is an apocalyptic number.

13954440 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 13954440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21153600).

13954440 is an abundant number, since it is smaller than the sum of its proper divisors (28352760).

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

13954440 is a wasteful number, since it uses less digits than its factorization.

13954440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 13954440 is about 3735.5642144126. The cubic root of 13954440 is about 240.7524992489.

The spelling of 13954440 in words is "thirteen million, nine hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1129 1236 1545 2060 2258 2472 3090 3387 4120 4516 5645 6180 6774 9032 11290 12360 13548 16935 22580 27096 33870 45160 67740 116287 135480 232574 348861 465148 581435 697722 930296 1162870 1395444 1744305 2325740 2790888 3488610 4651480 6977220 13954440