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1231063680 = 27357112757
BaseRepresentation
bin100100101100000…
…1000101010000000
310011210110111220010
41021120020222000
510010123014210
6322053544520
742335603640
oct11130105200
93153414803
101231063680
115819a3400
122a4345140
1316807c662
14b96d8520
1573124920
hex49608a80

1231063680 has 384 divisors, whose sum is σ = 4935853440. Its totient is φ = 255467520.

The previous prime is 1231063657. The next prime is 1231063681. The reversal of 1231063680 is 863601321.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1231063681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1625862 + ... + 1626618.

It is an arithmetic number, because the mean of its divisors is an integer number (12853785).

Almost surely, 21231063680 is an apocalyptic number.

1231063680 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 1231063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467926720).

1231063680 is an abundant number, since it is smaller than the sum of its proper divisors (3704789760).

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

1231063680 is a wasteful number, since it uses less digits than its factorization.

1231063680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1231063680 is about 35086.5170685265. The cubic root of 1231063680 is about 1071.7500345379.

The spelling of 1231063680 in words is "one billion, two hundred thirty-one million, sixty-three thousand, six hundred eighty".