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11873480 = 2351719919
BaseRepresentation
bin101101010010…
…110011001000
3211100020100112
4231102303020
511014422410
61102253452
7202631363
oct55226310
924306315
1011873480
11677a7a3
123b87288
1325c9538
1418110da
151098105
hexb52cc8

11873480 has 64 divisors (see below), whose sum is σ = 29808000. Its totient is φ = 4230144.

The previous prime is 11873471. The next prime is 11873483. The reversal of 11873480 is 8437811.

It is not an unprimeable number, because it can be changed into a prime (11873483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12461 + ... + 13379.

It is an arithmetic number, because the mean of its divisors is an integer number (465750).

Almost surely, 211873480 is an apocalyptic number.

11873480 is a gapful number since it is divisible by the number (10) 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 11873480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14904000).

11873480 is an abundant number, since it is smaller than the sum of its proper divisors (17934520).

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

11873480 is a wasteful number, since it uses less digits than its factorization.

11873480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 11873480 is about 3445.7916361846. The cubic root of 11873480 is about 228.1353971617.

The spelling of 11873480 in words is "eleven million, eight hundred seventy-three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 646 680 760 919 1292 1615 1838 2584 3230 3676 4595 6460 7352 9190 12920 15623 17461 18380 31246 34922 36760 62492 69844 78115 87305 124984 139688 156230 174610 296837 312460 349220 593674 624920 698440 1187348 1484185 2374696 2968370 5936740 11873480