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12380480 = 26575527
BaseRepresentation
bin101111001110…
…100101000000
3212021222211022
4233032211000
511132133410
61121205012
7210142460
oct57164500
925258738
1012380480
116a96702
124190768
132746238
141903ba0
151148455
hexbce940

12380480 has 56 divisors (see below), whose sum is σ = 33698688. Its totient is φ = 4243968.

The previous prime is 12380453. The next prime is 12380491. The reversal of 12380480 is 8408321.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 524 + ... + 5003.

Almost surely, 212380480 is an apocalyptic number.

12380480 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 12380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16849344).

12380480 is an abundant number, since it is smaller than the sum of its proper divisors (21318208).

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

12380480 is an equidigital number, since it uses as much as digits as its factorization.

12380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5551 (or 5541 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 12380480 is about 3518.5906269414. The cubic root of 12380480 is about 231.3373879610.

The spelling of 12380480 in words is "twelve million, three hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 5527 11054 22108 27635 38689 44216 55270 77378 88432 110540 154756 176864 193445 221080 309512 353728 386890 442160 619024 773780 884320 1238048 1547560 1768640 2476096 3095120 6190240 12380480