Search a number
-
+
1426625420 = 2251129311719
BaseRepresentation
bin101010100001000…
…1001001110001100
310200102110002011112
41111002021032030
510410204003140
6353321311152
750232054533
oct12502111614
93612402145
101426625420
11672324880
123399354b8
1319974176c
14d768331a
15853a3c65
hex5508938c

1426625420 has 96 divisors (see below), whose sum is σ = 3396556800. Its totient is φ = 498579200.

The previous prime is 1426625419. The next prime is 1426625437. The reversal of 1426625420 is 245266241.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1983821 + ... + 1984539.

It is an arithmetic number, because the mean of its divisors is an integer number (35380800).

Almost surely, 21426625420 is an apocalyptic number.

1426625420 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 1426625420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698278400).

1426625420 is an abundant number, since it is smaller than the sum of its proper divisors (1969931380).

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

1426625420 is a wasteful number, since it uses less digits than its factorization.

1426625420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 1426625420 is about 37770.6952543900. The cubic root of 1426625420 is about 1125.7362541864.

The spelling of 1426625420 in words is "one billion, four hundred twenty-six million, six hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 311 319 580 622 638 719 1244 1276 1438 1555 1595 2876 3110 3190 3421 3595 6220 6380 6842 7190 7909 9019 13684 14380 15818 17105 18038 20851 31636 34210 36076 39545 41702 45095 68420 79090 83404 90190 99209 104255 158180 180380 198418 208510 223609 229361 396836 417020 447218 458722 496045 894436 917444 992090 1118045 1146805 1984180 2236090 2293610 2459699 4472180 4587220 4919398 6484661 9838796 12298495 12969322 24596990 25938644 32423305 49193980 64846610 71331271 129693220 142662542 285325084 356656355 713312710 1426625420