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1426464 = 253313127
BaseRepresentation
bin101011100010000100000
32200110202000
411130100200
5331121324
650324000
715060534
oct5342040
92613660
101426464
118947a6
12589600
133ac380
14291bc4
151d29c9
hex15c420

1426464 has 96 divisors (see below), whose sum is σ = 4515840. Its totient is φ = 435456.

The previous prime is 1426457. The next prime is 1426471. The reversal of 1426464 is 4646241.

1426464 is a `hidden beast` number, since 14 + 2 + 646 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1426457) and next prime (1426471).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11169 + ... + 11295.

It is an arithmetic number, because the mean of its divisors is an integer number (47040).

21426464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1426464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257920).

1426464 is an abundant number, since it is smaller than the sum of its proper divisors (3089376).

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

1426464 is a wasteful number, since it uses less digits than its factorization.

1426464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 145 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1426464 is about 1194.3466833378. The cubic root of 1426464 is about 112.5693794267.

The spelling of 1426464 in words is "one million, four hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 127 144 156 208 216 234 254 288 312 351 381 416 432 468 508 624 702 762 864 936 1016 1143 1248 1404 1524 1651 1872 2032 2286 2808 3048 3302 3429 3744 4064 4572 4953 5616 6096 6604 6858 9144 9906 11232 12192 13208 13716 14859 18288 19812 26416 27432 29718 36576 39624 44577 52832 54864 59436 79248 89154 109728 118872 158496 178308 237744 356616 475488 713232 1426464