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11364948 = 223475011
BaseRepresentation
bin101011010110…
…101001010100
3210101101210000
4223112221110
510402134243
61043331300
7165412650
oct53265124
923341700
1011364948
116462721
123980b30
13247bc2a
14171ba60
15ee75d3
hexad6a54

11364948 has 60 divisors (see below), whose sum is σ = 33961312. Its totient is φ = 3246480.

The previous prime is 11364923. The next prime is 11364953. The reversal of 11364948 is 84946311.

11364948 is a `hidden beast` number, since 1 + 1 + 3 + 649 + 4 + 8 = 666.

11364948 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 238 + ... + 4773.

Almost surely, 211364948 is an apocalyptic number.

11364948 is a gapful number since it is divisible by the number (18) 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 11364948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16980656).

11364948 is an abundant number, since it is smaller than the sum of its proper divisors (22596364).

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

11364948 is a wasteful number, since it uses less digits than its factorization.

11364948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5034 (or 5023 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 11364948 is about 3371.1938538150. The cubic root of 11364948 is about 224.8308061361.

It can be divided in two parts, 1136 and 4948, that added together give a square (6084 = 782).

The spelling of 11364948 in words is "eleven million, three hundred sixty-four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 5011 10022 15033 20044 30066 35077 45099 60132 70154 90198 105231 135297 140308 180396 210462 270594 315693 405891 420924 541188 631386 811782 947079 1262772 1623564 1894158 2841237 3788316 5682474 11364948