Search a number
-
+
31461696 = 26357172
BaseRepresentation
bin111100000000…
…1000101000000
32012012102100000
41320001011000
531023233241
63042200000
7531264030
oct170010500
965172300
1031461696
1116839702
12a653000
1366973b6
14426d8c0
152b66eb6
hex1e01140

31461696 has 252 divisors, whose sum is σ = 113535968. Its totient is φ = 8460288.

The previous prime is 31461673. The next prime is 31461697. The reversal of 31461696 is 69616413.

31461696 is a `hidden beast` number, since 31 + 4 + 616 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 31461696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31461697) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1850680 + ... + 1850696.

Almost surely, 231461696 is an apocalyptic number.

31461696 is a gapful number since it is divisible by the number (36) 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 31461696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56767984).

31461696 is an abundant number, since it is smaller than the sum of its proper divisors (82074272).

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

31461696 is an equidigital number, since it uses as much as digits as its factorization.

31461696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 29 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 31461696 is about 5609.0726506259. The cubic root of 31461696 is about 315.6899164059.

The spelling of 31461696 in words is "thirty-one million, four hundred sixty-one thousand, six hundred ninety-six".