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12422480 = 245723169
BaseRepresentation
bin101111011000…
…110101010000
3212101010102212
4233120311100
511140004410
61122131252
7210406100
oct57306520
925333385
1012422480
117015214
1241b0b28
13275c3a5
141915200
151155b05
hexbd8d50

12422480 has 60 divisors (see below), whose sum is σ = 33608340. Its totient is φ = 4257792.

The previous prime is 12422471. The next prime is 12422533. The reversal of 12422480 is 8422421.

It is a happy number.

12422480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7529536 + 4892944 = 2744^2 + 2212^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2336 + ... + 5504.

It is an arithmetic number, because the mean of its divisors is an integer number (560139).

Almost surely, 212422480 is an apocalyptic number.

12422480 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 12422480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16804170).

12422480 is an abundant number, since it is smaller than the sum of its proper divisors (21185860).

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

12422480 is a wasteful number, since it uses less digits than its factorization.

12422480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 12422480 is about 3524.5538724780. The cubic root of 12422480 is about 231.5986918789.

The spelling of 12422480 in words is "twelve million, four hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3169 3920 6338 12676 15845 22183 25352 31690 44366 50704 63380 88732 110915 126760 155281 177464 221830 253520 310562 354928 443660 621124 776405 887320 1242248 1552810 1774640 2484496 3105620 6211240 12422480