Search a number
-
+
1045677612 = 2237234143307
BaseRepresentation
bin111110010100111…
…100011000101100
32200212121221000110
4332110330120230
54120143140422
6251432300020
734625053530
oct7624743054
92625557013
101045677612
11497292081
12252241610
13138841065
149cc3bbc0
1561c0560c
hex3e53c62c

1045677612 has 192 divisors, whose sum is σ = 3059933184. Its totient is φ = 271434240.

The previous prime is 1045677601. The next prime is 1045677617. The reversal of 1045677612 is 2167765401.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1045677617) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3405963 + ... + 3406269.

It is an arithmetic number, because the mean of its divisors is an integer number (15937152).

Almost surely, 21045677612 is an apocalyptic number.

1045677612 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 1045677612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529966592).

1045677612 is an abundant number, since it is smaller than the sum of its proper divisors (2014255572).

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

1045677612 is a wasteful number, since it uses less digits than its factorization.

1045677612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 1045677612 is about 32336.9388161588. The cubic root of 1045677612 is about 1014.9997531283. Note that the first 3 decimals are identical.

The spelling of 1045677612 in words is "one billion, forty-five million, six hundred seventy-seven thousand, six hundred twelve".