Search a number
-
+
1230255936 = 26327313479
BaseRepresentation
bin100100101010100…
…0011011101000000
310011201221110212200
41021111003131000
510004421142221
6322024353200
742326001000
oct11125033500
93151843780
101230255936
115814a1548
122a4015800
13167b58ac0
14b9568000
1573015426
hex49543740

1230255936 has 336 divisors, whose sum is σ = 4437888000. Its totient is φ = 323785728.

The previous prime is 1230255853. The next prime is 1230256007. The reversal of 1230255936 is 6395520321.

1230255936 is a `hidden beast` number, since 12 + 30 + 25 + 593 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1230255936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2568145 + ... + 2568623.

It is an arithmetic number, because the mean of its divisors is an integer number (13208000).

Almost surely, 21230255936 is an apocalyptic number.

1230255936 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 1230255936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218944000).

1230255936 is an abundant number, since it is smaller than the sum of its proper divisors (3207632064).

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

1230255936 is a wasteful number, since it uses less digits than its factorization.

1230255936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 1230255936 is about 35075.0044333568. The cubic root of 1230255936 is about 1071.5155790066.

The spelling of 1230255936 in words is "one billion, two hundred thirty million, two hundred fifty-five thousand, nine hundred thirty-six".