Search a number
-
+
16372972 = 22711175359
BaseRepresentation
bin111110011101…
…010011101100
31010210211111101
4332131103230
513142413342
61342532444
7256111420
oct76352354
933724441
1016372972
119273290
125597124
133513565
142262b80
1516863b7
hexf9d4ec

16372972 has 96 divisors (see below), whose sum is σ = 39191040. Its totient is φ = 5790720.

The previous prime is 16372963. The next prime is 16372973. The reversal of 16372972 is 27927361.

It is a super-2 number, since 2×163729722 = 536148424225568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16372973) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277479 + ... + 277537.

It is an arithmetic number, because the mean of its divisors is an integer number (408240).

Almost surely, 216372972 is an apocalyptic number.

16372972 is the 3304-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16372972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595520).

16372972 is an abundant number, since it is smaller than the sum of its proper divisors (22818068).

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

16372972 is a wasteful number, since it uses less digits than its factorization.

16372972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 149 counting only the distinct ones).

The product of its digits is 31752, while the sum is 37.

The square root of 16372972 is about 4046.3529257839. The cubic root of 16372972 is about 253.9271703072.

The spelling of 16372972 in words is "sixteen million, three hundred seventy-two thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 53 59 68 77 106 118 119 154 187 212 236 238 308 371 374 413 476 583 649 742 748 826 901 1003 1166 1298 1309 1484 1652 1802 2006 2332 2596 2618 3127 3604 4012 4081 4543 5236 6254 6307 7021 8162 9086 9911 11033 12508 12614 14042 16324 18172 19822 21889 22066 25228 28084 34397 39644 43778 44132 53159 68794 69377 77231 87556 106318 137588 138754 154462 212636 240779 277508 308924 372113 481558 584749 744226 963116 1169498 1488452 2338996 4093243 8186486 16372972