Search a number
-
+
13847940 = 22325107719
BaseRepresentation
bin110100110100…
…110110000100
3222001112210200
4310310312010
512021113230
61212450500
7225464001
oct64646604
928045720
1013847940
1178a9187
124779a30
132b3b162
141ba68a8
151338160
hexd34d84

13847940 has 72 divisors (see below), whose sum is σ = 42456960. Its totient is φ = 3653184.

The previous prime is 13847929. The next prime is 13847957. The reversal of 13847940 is 4974831.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 13847895 and 13847904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18901 + ... + 19619.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 213847940 is an apocalyptic number.

13847940 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 13847940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228480).

13847940 is an abundant number, since it is smaller than the sum of its proper divisors (28609020).

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

13847940 is a wasteful number, since it uses less digits than its factorization.

13847940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 13847940 is about 3721.2820371480. The cubic root of 13847940 is about 240.1384617694.

The spelling of 13847940 in words is "thirteen million, eight hundred forty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 719 963 1070 1284 1438 1605 1926 2140 2157 2876 3210 3595 3852 4314 4815 6420 6471 7190 8628 9630 10785 12942 14380 19260 21570 25884 32355 43140 64710 76933 129420 153866 230799 307732 384665 461598 692397 769330 923196 1153995 1384794 1538660 2307990 2769588 3461985 4615980 6923970 13847940