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1131948 = 223347223
BaseRepresentation
bin100010100010110101100
32010111202000
410110112230
5242210243
640132300
712423066
oct4242654
92114660
101131948
117034a4
12467090
133082bc
14216736
151755d3
hex1145ac

1131948 has 48 divisors (see below), whose sum is σ = 3010560. Its totient is φ = 367632.

The previous prime is 1131943. The next prime is 1131959. The reversal of 1131948 is 8491311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1131943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4965 + ... + 5187.

It is an arithmetic number, because the mean of its divisors is an integer number (62720).

21131948 is an apocalyptic number.

1131948 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 1131948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505280).

1131948 is an abundant number, since it is smaller than the sum of its proper divisors (1878612).

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

1131948 is a wasteful number, since it uses less digits than its factorization.

1131948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 275 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 1131948 is about 1063.9304488546. The cubic root of 1131948 is about 104.2178618392.

The spelling of 1131948 in words is "one million, one hundred thirty-one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 223 282 423 446 564 669 846 892 1269 1338 1692 2007 2538 2676 4014 5076 6021 8028 10481 12042 20962 24084 31443 41924 62886 94329 125772 188658 282987 377316 565974 1131948