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100706064 = 2434914273
BaseRepresentation
bin1100000000010…
…10011100010000
321000111101202020
412000022130100
5201240043224
613554251440
72331662454
oct600123420
9230441666
10100706064
1151933a58
1229886b80
1317b2ccb4
14d536664
158c93c79
hex600a710

100706064 has 40 divisors (see below), whose sum is σ = 260748192. Its totient is φ = 33492480.

The previous prime is 100706057. The next prime is 100706069. The reversal of 100706064 is 460607001.

It is a super-2 number, since 2×1007060642 = 20283422652744192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100706069) 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, 21432 + ... + 25704.

Almost surely, 2100706064 is an apocalyptic number.

It is an amenable number.

100706064 is an abundant number, since it is smaller than the sum of its proper divisors (160042128).

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

100706064 is a wasteful number, since it uses less digits than its factorization.

100706064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4775 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 100706064 is about 10035.2411032321. The cubic root of 100706064 is about 465.2487419315.

The spelling of 100706064 in words is "one hundred million, seven hundred six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 491 982 1473 1964 2946 3928 4273 5892 7856 8546 11784 12819 17092 23568 25638 34184 51276 68368 102552 205104 2098043 4196086 6294129 8392172 12588258 16784344 25176516 33568688 50353032 100706064