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11306172 = 2232953613
BaseRepresentation
bin101011001000…
…010010111100
3210021102011010
4223020102330
510343244142
61042155220
7165046413
oct53102274
923242133
1011306172
116422549
123952b10
13245b257
14170447a
15ed4e9c
hexac84bc

11306172 has 48 divisors (see below), whose sum is σ = 27851040. Its totient is φ = 3564288.

The previous prime is 11306171. The next prime is 11306203. The reversal of 11306172 is 27160311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11306171) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18138 + ... + 18750.

It is an arithmetic number, because the mean of its divisors is an integer number (580230).

Almost surely, 211306172 is an apocalyptic number.

11306172 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 11306172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13925520).

11306172 is an abundant number, since it is smaller than the sum of its proper divisors (16544868).

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

11306172 is a wasteful number, since it uses less digits than its factorization.

11306172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 11306172 is about 3362.4651671058. The cubic root of 11306172 is about 224.4425508959.

Adding to 11306172 its reverse (27160311), we get a palindrome (38466483).

The spelling of 11306172 in words is "eleven million, three hundred six thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 29 53 58 87 106 116 159 174 212 318 348 613 636 1226 1537 1839 2452 3074 3678 4611 6148 7356 9222 17777 18444 32489 35554 53331 64978 71108 97467 106662 129956 194934 213324 389868 942181 1884362 2826543 3768724 5653086 11306172