Search a number
-
+
16739136 = 26343229
BaseRepresentation
bin111111110110…
…101101000000
31011111102210000
4333312231000
513241123021
61354440000
7262165101
oct77665500
934442700
1016739136
1194a33a7
125733000
13361111b
14231a3a8
151709b26
hexff6b40

16739136 has 70 divisors (see below), whose sum is σ = 49635410. Its totient is φ = 5577984.

The previous prime is 16739131. The next prime is 16739141. The reversal of 16739136 is 63193761.

It is an interprime number because it is at equal distance from previous prime (16739131) and next prime (16739141).

It can be written as a sum of positive squares in only one way, i.e., 12960000 + 3779136 = 3600^2 + 1944^2 .

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

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 16739136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16739131) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3570 + ... + 6798.

Almost surely, 216739136 is an apocalyptic number.

16739136 is a gapful number since it is divisible by the number (16) 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 16739136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24817705).

16739136 is an abundant number, since it is smaller than the sum of its proper divisors (32896274).

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

16739136 is an equidigital number, since it uses as much as digits as its factorization.

16739136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253 (or 3234 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 16739136 is about 4091.3489218105. The cubic root of 16739136 is about 255.8061683807.

The spelling of 16739136 in words is "sixteen million, seven hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 3229 5184 6458 9687 12916 19374 25832 29061 38748 51664 58122 77496 87183 103328 116244 154992 174366 206656 232488 261549 309984 348732 464976 523098 619968 697464 929952 1046196 1394928 1859904 2092392 2789856 4184784 5579712 8369568 16739136