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12880440 = 2332537967
BaseRepresentation
bin110001001000…
…101000111000
3220020101122100
4301020220320
511244133230
61140023400
7214324206
oct61105070
926211570
1012880440
1172a82a1
124391b60
13288c981
1419d4076
1511e6660
hexc48a38

12880440 has 96 divisors (see below), whose sum is σ = 43037280. Its totient is φ = 3338496.

The previous prime is 12880411. The next prime is 12880447. The reversal of 12880440 is 4408821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12880447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12837 + ... + 13803.

It is an arithmetic number, because the mean of its divisors is an integer number (448305).

Almost surely, 212880440 is an apocalyptic number.

12880440 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 12880440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21518640).

12880440 is an abundant number, since it is smaller than the sum of its proper divisors (30156840).

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

12880440 is a wasteful number, since it uses less digits than its factorization.

12880440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 12880440 is about 3588.9329890651. The cubic root of 12880440 is about 234.4104127824.

The spelling of 12880440 in words is "twelve million, eight hundred eighty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 967 1110 1332 1480 1665 1934 2220 2664 2901 3330 3868 4440 4835 5802 6660 7736 8703 9670 11604 13320 14505 17406 19340 23208 29010 34812 35779 38680 43515 58020 69624 71558 87030 107337 116040 143116 174060 178895 214674 286232 322011 348120 357790 429348 536685 644022 715580 858696 1073370 1288044 1431160 1610055 2146740 2576088 3220110 4293480 6440220 12880440