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1010875464 = 23342416473
BaseRepresentation
bin111100010000001…
…011110001001000
32121110010210110000
4330100023301020
54032241003324
6244150323000
734023204534
oct7420136110
92543123400
101010875464
11479681775
12242659460
13131577381
149837cbc4
155db2d9c9
hex3c40bc48

1010875464 has 80 divisors (see below), whose sum is σ = 2843575020. Its totient is φ = 335508480.

The previous prime is 1010875447. The next prime is 1010875477. The reversal of 1010875464 is 4645780101.

It is a happy number.

1010875464 is a `hidden beast` number, since 1 + 0 + 108 + 7 + 546 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1009332900 + 1542564 = 31770^2 + 1242^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 152932 + ... + 159404.

Almost surely, 21010875464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010875464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421787510).

1010875464 is an abundant number, since it is smaller than the sum of its proper divisors (1832699556).

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

1010875464 is a wasteful number, since it uses less digits than its factorization.

1010875464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6732 (or 6719 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1010875464 is about 31794.2677852471. The cubic root of 1010875464 is about 1003.6120917506.

The spelling of 1010875464 in words is "one billion, ten million, eight hundred seventy-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 241 324 482 648 723 964 1446 1928 2169 2892 4338 5784 6473 6507 8676 12946 13014 17352 19419 19521 25892 26028 38838 39042 51784 52056 58257 77676 78084 116514 155352 156168 174771 233028 349542 466056 524313 699084 1048626 1398168 1559993 2097252 3119986 4194504 4679979 6239972 9359958 12479944 14039937 18719916 28079874 37439832 42119811 56159748 84239622 112319496 126359433 168479244 252718866 336958488 505437732 1010875464