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1146045616 = 241724117483
BaseRepresentation
bin100010001001111…
…0100010010110000
32221212111011000221
41010103310102300
54321341424431
6305415422424
740254140602
oct10423642260
92855434027
101146045616
11538a05041
1227b984a14
13153583201
14ac2c7172
156a92e111
hex444f44b0

1146045616 has 40 divisors (see below), whose sum is σ = 2360969424. Its totient is φ = 537047040.

The previous prime is 1146045611. The next prime is 1146045617. The reversal of 1146045616 is 6165406411.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (1146045611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56811 + ... + 74293.

Almost surely, 21146045616 is an apocalyptic number.

1146045616 is a gapful number since it is divisible by the number (16) 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 1146045616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180484712).

1146045616 is an abundant number, since it is smaller than the sum of its proper divisors (1214923808).

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

1146045616 is a wasteful number, since it uses less digits than its factorization.

1146045616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17749 (or 17743 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 1146045616 is about 33853.2954968937. The cubic root of 1146045616 is about 1046.4873141688.

The spelling of 1146045616 in words is "one billion, one hundred forty-six million, forty-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 241 272 482 964 1928 3856 4097 8194 16388 17483 32776 34966 65552 69932 139864 279728 297211 594422 1188844 2377688 4213403 4755376 8426806 16853612 33707224 67414448 71627851 143255702 286511404 573022808 1146045616