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12148992 = 28325273
BaseRepresentation
bin101110010110…
…000100000000
3211212020021200
4232112010000
511102231432
61112221200
7205156542
oct56260400
924766250
1012148992
116948799
12409a800
132694a6b
141883692
1510eea7c
hexb96100

12148992 has 54 divisors (see below), whose sum is σ = 35035182. Its totient is φ = 4048896.

The previous prime is 12148973. The next prime is 12149003. The reversal of 12148992 is 29984121.

It can be written as a sum of positive squares in only one way, i.e., 10342656 + 1806336 = 3216^2 + 1344^2 .

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

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 333 + ... + 4940.

Almost surely, 212148992 is an apocalyptic number.

12148992 is a gapful number since it is divisible by the number (12) 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 12148992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17517591).

12148992 is an abundant number, since it is smaller than the sum of its proper divisors (22886190).

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

12148992 is an equidigital number, since it uses as much as digits as its factorization.

12148992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5295 (or 5278 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 12148992 is about 3485.5404172094. The cubic root of 12148992 is about 229.8864720121.

The spelling of 12148992 in words is "twelve million, one hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 5273 10546 15819 21092 31638 42184 47457 63276 84368 94914 126552 168736 189828 253104 337472 379656 506208 674944 759312 1012416 1349888 1518624 2024832 3037248 4049664 6074496 12148992