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11249316 = 2232132432
BaseRepresentation
bin101010111010…
…011010100100
3210011112011100
4222322122210
510334434231
61041040100
7164421561
oct52723244
923145140
1011249316
116393861
123926030
13243b400
1416cb868
15ec31e6
hexaba6a4

11249316 has 81 divisors (see below), whose sum is σ = 31524129. Its totient is φ = 3380832.

The previous prime is 11249297. The next prime is 11249321. The reversal of 11249316 is 61394211.

The square root of 11249316 is 3354.

It is a perfect power (a square), and thus also a powerful number.

11249316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1664100 + 9585216 = 1290^2 + 3096^2 .

It is a super-2 number, since 2×112493162 = 253094220935712, which contains 22 as substring.

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 11249316.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 261591 + ... + 261633.

Almost surely, 211249316 is an apocalyptic number.

11249316 is the 3354-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11249316

11249316 is an abundant number, since it is smaller than the sum of its proper divisors (20274813).

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

11249316 is a wasteful number, since it uses less digits than its factorization.

11249316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 61 counting only the distinct ones).

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

The cubic root of 11249316 is about 224.0656960790.

Multiplying 11249316 by its product of digits (1296), we get a square (14579113536 = 1207442).

It can be divided in two parts, 1124 and 9316, that added together give a triangular number (10440 = T144).

The spelling of 11249316 in words is "eleven million, two hundred forty-nine thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 78 86 117 129 156 169 172 234 258 338 387 468 507 516 559 676 774 1014 1118 1521 1548 1677 1849 2028 2236 3042 3354 3698 5031 5547 6084 6708 7267 7396 10062 11094 14534 16641 20124 21801 22188 24037 29068 33282 43602 48074 65403 66564 72111 87204 96148 130806 144222 216333 261612 288444 312481 432666 624962 865332 937443 1249924 1874886 2812329 3749772 5624658 11249316