Search a number
-
+
100664802 = 2337793371
BaseRepresentation
bin1100000000000…
…00010111100010
321000102022011000
412000000113202
5201232233202
613553332430
72331431250
oct600002742
9230368130
10100664802
1151905a57
1229867116
1317b17294
14d5255d0
158c8691c
hex60005e2

100664802 has 64 divisors (see below), whose sum is σ = 258969600. Its totient is φ = 28388880.

The previous prime is 100664801. The next prime is 100664819. The reversal of 100664802 is 208466001.

100664802 is a `hidden beast` number, since 10 + 0 + 6 + 648 + 0 + 2 = 666.

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 (100664801) 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, 28177 + ... + 31547.

It is an arithmetic number, because the mean of its divisors is an integer number (4046400).

Almost surely, 2100664802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100664802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129484800).

100664802 is an abundant number, since it is smaller than the sum of its proper divisors (158304798).

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

100664802 is a wasteful number, since it uses less digits than its factorization.

100664802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3468 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 100664802 is about 10033.1850376638. The cubic root of 100664802 is about 465.1851915841.

The spelling of 100664802 in words is "one hundred million, six hundred sixty-four thousand, eight hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 79 126 158 189 237 378 474 553 711 1106 1422 1659 2133 3318 3371 4266 4977 6742 9954 10113 14931 20226 23597 29862 30339 47194 60678 70791 91017 141582 182034 212373 266309 424746 532618 637119 798927 1274238 1597854 1864163 2396781 3728326 4793562 5592489 7190343 11184978 14380686 16777467 33554934 50332401 100664802