Search a number
-
+
11402172 = 22321731601
BaseRepresentation
bin101011011111…
…101110111100
3210110021211200
4223133232330
510404332142
61044215500
7165626325
oct53375674
923407750
1011402172
116488691
12399a590
132492b62
14172b44c
15100364c
hexadfbbc

11402172 has 72 divisors (see below), whose sum is σ = 31554432. Its totient is φ = 3456000.

The previous prime is 11402159. The next prime is 11402197. The reversal of 11402172 is 27120411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18672 + ... + 19272.

It is an arithmetic number, because the mean of its divisors is an integer number (438256).

Almost surely, 211402172 is an apocalyptic number.

11402172 is a gapful number since it is divisible by the number (12) 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 11402172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15777216).

11402172 is an abundant number, since it is smaller than the sum of its proper divisors (20152260).

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

11402172 is a wasteful number, since it uses less digits than its factorization.

11402172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 11402172 is about 3376.7102333484. The cubic root of 11402172 is about 225.0760039530.

Adding to 11402172 its reverse (27120411), we get a palindrome (38522583).

The spelling of 11402172 in words is "eleven million, four hundred two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 186 204 279 306 372 527 558 601 612 1054 1116 1202 1581 1803 2108 2404 3162 3606 4743 5409 6324 7212 9486 10217 10818 18631 18972 20434 21636 30651 37262 40868 55893 61302 74524 91953 111786 122604 167679 183906 223572 316727 335358 367812 633454 670716 950181 1266908 1900362 2850543 3800724 5701086 11402172