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1823015430 = 23356751909
BaseRepresentation
bin110110010101001…
…0000001000000110
311201001022210001000
41230222100020012
512213142443210
6500521314130
763114242535
oct15452201006
94631283030
101823015430
11856054525
1242a635946
132308bab72
1413418831c
15aa0a2ac0
hex6ca90206

1823015430 has 32 divisors (see below), whose sum is σ = 4861375200. Its totient is φ = 486137376.

The previous prime is 1823015423. The next prime is 1823015449. The reversal of 1823015430 is 345103281.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1823015394 and 1823015403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3375685 + ... + 3376224.

It is an arithmetic number, because the mean of its divisors is an integer number (151917975).

Almost surely, 21823015430 is an apocalyptic number.

1823015430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1823015430 is an abundant number, since it is smaller than the sum of its proper divisors (3038359770).

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

1823015430 is a wasteful number, since it uses less digits than its factorization.

1823015430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6751925 (or 6751919 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1823015430 is about 42696.7847735635. The cubic root of 1823015430 is about 1221.6030682412.

The spelling of 1823015430 in words is "one billion, eight hundred twenty-three million, fifteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 6751909 13503818 20255727 33759545 40511454 60767181 67519090 101278635 121534362 182301543 202557270 303835905 364603086 607671810 911507715 1823015430