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1412880400 = 24523599839
BaseRepresentation
bin101010000110110…
…1101100000010000
310122110120202112201
41110031231200100
510343144133100
6352110532544
750004166561
oct12415554020
93573522481
101412880400
11665596a58
12335207154
1319693b409
14d5906168
158408b36a
hex5436d810

1412880400 has 60 divisors (see below), whose sum is σ = 3404246400. Its totient is φ = 563520640.

The previous prime is 1412880361. The next prime is 1412880407. The reversal of 1412880400 is 40882141.

It is not an unprimeable number, because it can be changed into a prime (1412880407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138681 + ... + 148519.

It is an arithmetic number, because the mean of its divisors is an integer number (56737440).

Almost surely, 21412880400 is an apocalyptic number.

1412880400 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 1412880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702123200).

1412880400 is an abundant number, since it is smaller than the sum of its proper divisors (1991366000).

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

1412880400 is a wasteful number, since it uses less digits than its factorization.

1412880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10216 (or 10205 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 1412880400 is about 37588.3013715704. The cubic root of 1412880400 is about 1122.1092268604.

The spelling of 1412880400 in words is "one billion, four hundred twelve million, eight hundred eighty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 359 400 718 1436 1795 2872 3590 5744 7180 8975 9839 14360 17950 19678 28720 35900 39356 49195 71800 78712 98390 143600 157424 196780 245975 393560 491950 787120 983900 1967800 3532201 3935600 7064402 14128804 17661005 28257608 35322010 56515216 70644020 88305025 141288040 176610050 282576080 353220100 706440200 1412880400