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11295312 = 243733617
BaseRepresentation
bin101011000101…
…101001010000
3210020212020220
4223011221100
510342422222
61042033040
7165002640
oct53055120
923225226
1011295312
116415376
123948780
132456322
141700520
15ed1b5c
hexac5a50

11295312 has 40 divisors (see below), whose sum is σ = 33349056. Its totient is φ = 3227136.

The previous prime is 11295311. The next prime is 11295313. The reversal of 11295312 is 21359211.

It is an interprime number because it is at equal distance from previous prime (11295311) and next prime (11295313).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11295311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16473 + ... + 17144.

Almost surely, 211295312 is an apocalyptic number.

11295312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11295312 is an abundant number, since it is smaller than the sum of its proper divisors (22053744).

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

11295312 is a wasteful number, since it uses less digits than its factorization.

11295312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33635 (or 33629 counting only the distinct ones).

The product of its digits is 540, while the sum is 24.

The square root of 11295312 is about 3360.8498925123. The cubic root of 11295312 is about 224.3706660605.

It can be divided in two parts, 1129 and 5312, that added together give a triangular number (6441 = T113).

The spelling of 11295312 in words is "eleven million, two hundred ninety-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 33617 67234 100851 134468 201702 235319 268936 403404 470638 537872 705957 806808 941276 1411914 1613616 1882552 2823828 3765104 5647656 11295312