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11993544 = 23321571061
BaseRepresentation
bin101101110000…
…000111001000
3211120100001100
4231300013020
511032243134
61105021400
7203641413
oct55600710
924510040
1011993544
116851a22
124024860
13263c094
141842b7a
1510bd999
hexb701c8

11993544 has 48 divisors (see below), whose sum is σ = 32720220. Its totient is φ = 3968640.

The previous prime is 11993539. The next prime is 11993549. The reversal of 11993544 is 44539911.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11993539) and next prime (11993549).

It can be written as a sum of positive squares in 2 ways, for example, as 11985444 + 8100 = 3462^2 + 90^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11993499 and 11993508.

It is not an unprimeable number, because it can be changed into a prime (11993549) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10774 + ... + 11834.

Almost surely, 211993544 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 11993544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16360110).

11993544 is an abundant number, since it is smaller than the sum of its proper divisors (20726676).

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

11993544 is a wasteful number, since it uses less digits than its factorization.

11993544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1223 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 11993544 is about 3463.1696464366. The cubic root of 11993544 is about 228.9017840614.

The spelling of 11993544 in words is "eleven million, nine hundred ninety-three thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 942 1061 1256 1413 1884 2122 2826 3183 3768 4244 5652 6366 8488 9549 11304 12732 19098 25464 38196 76392 166577 333154 499731 666308 999462 1332616 1499193 1998924 2998386 3997848 5996772 11993544