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1424867136 = 263711313109
BaseRepresentation
bin101010011101101…
…1011111101000000
310200022010202020220
41110323123331000
510404231222021
6353215503040
750211112410
oct12473337500
93608122226
101424867136
11671333850
12339227a80
13199277364
14d7346640
1585157cc6
hex54edbf40

1424867136 has 224 divisors, whose sum is σ = 4853391360. Its totient is φ = 358041600.

The previous prime is 1424867131. The next prime is 1424867141. The reversal of 1424867136 is 6317684241.

It is an interprime number because it is at equal distance from previous prime (1424867131) and next prime (1424867141).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1424867131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456750 + ... + 459858.

Almost surely, 21424867136 is an apocalyptic number.

1424867136 is a gapful number since it is divisible by the number (16) 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 1424867136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426695680).

1424867136 is an abundant number, since it is smaller than the sum of its proper divisors (3428524224).

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

1424867136 is a wasteful number, since it uses less digits than its factorization.

1424867136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173 (or 3163 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 1424867136 is about 37747.4123086603. The cubic root of 1424867136 is about 1125.2735824513.

The spelling of 1424867136 in words is "one billion, four hundred twenty-four million, eight hundred sixty-seven thousand, one hundred thirty-six".