Search a number
-
+
1426437220 = 2251310950333
BaseRepresentation
bin101010100000101…
…1011010001100100
310200102002112000011
41111001123101210
510410131442340
6353313300004
750230342045
oct12501332144
93612075004
101426437220
1167220643a
12339864604
131996a6bc0
14d76348cc
15853680ea
hex5505b464

1426437220 has 48 divisors (see below), whose sum is σ = 3255603120. Its totient is φ = 521842176.

The previous prime is 1426437211. The next prime is 1426437269. The reversal of 1426437220 is 227346241.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 166464 + 1426270756 = 408^2 + 37766^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3174 + ... + 53506.

It is an arithmetic number, because the mean of its divisors is an integer number (67825065).

Almost surely, 21426437220 is an apocalyptic number.

1426437220 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 1426437220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627801560).

1426437220 is an abundant number, since it is smaller than the sum of its proper divisors (1829165900).

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

1426437220 is a wasteful number, since it uses less digits than its factorization.

1426437220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50464 (or 50462 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 1426437220 is about 37768.2038227925. The cubic root of 1426437220 is about 1125.6867497458.

The spelling of 1426437220 in words is "one billion, four hundred twenty-six million, four hundred thirty-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 109 130 218 260 436 545 1090 1417 2180 2834 5668 7085 14170 28340 50333 100666 201332 251665 503330 654329 1006660 1308658 2617316 3271645 5486297 6543290 10972594 13086580 21945188 27431485 54862970 71321861 109725940 142643722 285287444 356609305 713218610 1426437220