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11429316 = 2233971091
BaseRepresentation
bin101011100110…
…010111000100
3210111200002000
4223212113010
510411214231
61044545300
7166101423
oct53462704
923450060
1011429316
1164a7018
1239b2230
1324a2312
1417372ba
15100b6e6
hexae65c4

11429316 has 48 divisors (see below), whose sum is σ = 29964480. Its totient is φ = 3767040.

The previous prime is 11429311. The next prime is 11429323. The reversal of 11429316 is 61392411.

11429316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11429316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11429311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9931 + ... + 11021.

It is an arithmetic number, because the mean of its divisors is an integer number (624260).

Almost surely, 211429316 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 11429316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14982240).

11429316 is an abundant number, since it is smaller than the sum of its proper divisors (18535164).

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

11429316 is a wasteful number, since it uses less digits than its factorization.

11429316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1193 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 11429316 is about 3380.7271407199. The cubic root of 11429316 is about 225.2544676525.

It can be divided in two parts, 1142931 and 6, that multiplied together give a palindrome (6857586).

The spelling of 11429316 in words is "eleven million, four hundred twenty-nine thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 97 108 194 291 388 582 873 1091 1164 1746 2182 2619 3273 3492 4364 5238 6546 9819 10476 13092 19638 29457 39276 58914 105827 117828 211654 317481 423308 634962 952443 1269924 1904886 2857329 3809772 5714658 11429316