Search a number
-
+
16381944 = 2332472103
BaseRepresentation
bin111110011111…
…011111111000
31010211021210200
4332133133320
513143210234
61343042200
7256146525
oct76373770
933737720
1016381944
119279aa7
1255a0360
133517677
14226614c
151688d99
hexf9f7f8

16381944 has 72 divisors (see below), whose sum is σ = 45771960. Its totient is φ = 5292576.

The previous prime is 16381891. The next prime is 16381961. The reversal of 16381944 is 44918361.

16381944 is a `hidden beast` number, since 1 + 638 + 19 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 16381899 and 16381908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 158997 + ... + 159099.

Almost surely, 216381944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16381944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22885980).

16381944 is an abundant number, since it is smaller than the sum of its proper divisors (29390016).

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

16381944 is a wasteful number, since it uses less digits than its factorization.

16381944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 155 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 16381944 is about 4047.4614266229. The cubic root of 16381944 is about 253.9735438582.

The spelling of 16381944 in words is "sixteen million, three hundred eighty-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 103 141 188 206 282 309 376 412 423 564 618 824 846 927 1128 1236 1692 1854 2209 2472 3384 3708 4418 4841 6627 7416 8836 9682 13254 14523 17672 19364 19881 26508 29046 38728 39762 43569 53016 58092 79524 87138 116184 159048 174276 227527 348552 455054 682581 910108 1365162 1820216 2047743 2730324 4095486 5460648 8190972 16381944