Search a number
-
+
13922440 = 2357192617
BaseRepresentation
bin110101000111…
…000010001000
3222012022222221
4311013002020
512031004230
61214223424
7226224130
oct65070210
928168887
1013922440
11794a154
1247b4b74
132b6603c
141bc5ac0
15135027a
hexd47088

13922440 has 64 divisors (see below), whose sum is σ = 37699200. Its totient is φ = 4520448.

The previous prime is 13922423. The next prime is 13922453. The reversal of 13922440 is 4422931.

13922440 is nontrivially palindromic in base 12.

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, 4012 + ... + 6628.

It is an arithmetic number, because the mean of its divisors is an integer number (589050).

Almost surely, 213922440 is an apocalyptic number.

13922440 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 13922440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18849600).

13922440 is an abundant number, since it is smaller than the sum of its proper divisors (23776760).

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

13922440 is a wasteful number, since it uses less digits than its factorization.

13922440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 13922440 is about 3731.2786012304. The cubic root of 13922440 is about 240.5683290390.

The spelling of 13922440 in words is "thirteen million, nine hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2617 2660 5234 5320 10468 13085 18319 20936 26170 36638 49723 52340 73276 91595 99446 104680 146552 183190 198892 248615 348061 366380 397784 497230 696122 732760 994460 1392244 1740305 1988920 2784488 3480610 6961220 13922440