Search a number
-
+
1016070912 = 28332937137
BaseRepresentation
bin111100100100000…
…000001100000000
32121210220202021000
4330210000030000
54040103232122
6244453532000
734115313603
oct7444001400
92553822230
101016070912
1148160012a
12244344000
131326760bc
1498d3233a
155e3080ac
hex3c900300

1016070912 has 288 divisors, whose sum is σ = 3215620800. Its totient is φ = 315850752.

The previous prime is 1016070901. The next prime is 1016070917. The reversal of 1016070912 is 2190706101.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (1016070917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7416508 + ... + 7416644.

It is an arithmetic number, because the mean of its divisors is an integer number (11165350).

Almost surely, 21016070912 is an apocalyptic number.

1016070912 is a gapful number since it is divisible by the number (12) 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 1016070912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607810400).

1016070912 is an abundant number, since it is smaller than the sum of its proper divisors (2199549888).

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

1016070912 is a wasteful number, since it uses less digits than its factorization.

1016070912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 1016070912 is about 31875.8672352612. The cubic root of 1016070912 is about 1005.3285270350.

The spelling of 1016070912 in words is "one billion, sixteen million, seventy thousand, nine hundred twelve".