Search a number
-
+
1020840912 = 2432721331359
BaseRepresentation
bin111100110110001…
…100101111010000
32122010220002110200
4330312030233100
54042313402122
6245144055200
734204001400
oct7466145720
92563802420
101020840912
11484268983
12245a64500
131336562a0
1499814800
155e94b5ac
hex3cd8cbd0

1020840912 has 360 divisors, whose sum is σ = 3704762880. Its totient is φ = 259822080.

The previous prime is 1020840907. The next prime is 1020840913. The reversal of 1020840912 is 2190480201.

It is a super-2 number, since 2×10208409122 = 2084232335225983488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020840913) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2843389 + ... + 2843747.

It is an arithmetic number, because the mean of its divisors is an integer number (10291008).

Almost surely, 21020840912 is an apocalyptic number.

1020840912 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 1020840912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852381440).

1020840912 is an abundant number, since it is smaller than the sum of its proper divisors (2683921968).

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

1020840912 is a wasteful number, since it uses less digits than its factorization.

1020840912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1020840912 is about 31950.6011211057. The cubic root of 1020840912 is about 1006.8992613911.

It can be divided in two parts, 10208409 and 12, that added together give a triangular number (10208421 = T4518).

The spelling of 1020840912 in words is "one billion, twenty million, eight hundred forty thousand, nine hundred twelve".