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1020410064 = 24329777253
BaseRepresentation
bin111100110100100…
…011100011010000
32122010002012110100
4330310203203100
54042211110224
6245130532400
734200225312
oct7464434320
92563065410
101020410064
11483aa4203
12245897100
1313353514b
14997417b2
155e8b3ac9
hex3cd238d0

1020410064 has 60 divisors (see below), whose sum is σ = 2859048036. Its totient is φ = 339741696.

The previous prime is 1020410063. The next prime is 1020410071. The reversal of 1020410064 is 4600140201.

It can be written as a sum of positive squares in 2 ways, for example, as 864360000 + 156050064 = 29400^2 + 12492^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020410063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137062 + ... + 144314.

Almost surely, 21020410064 is an apocalyptic number.

It is an amenable number.

1020410064 is an abundant number, since it is smaller than the sum of its proper divisors (1838637972).

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

1020410064 is a wasteful number, since it uses less digits than its factorization.

1020410064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8244 (or 8235 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1020410064 is about 31943.8580011870. The cubic root of 1020410064 is about 1006.7575868253.

Adding to 1020410064 its reverse (4600140201), we get a palindrome (5620550265).

The spelling of 1020410064 in words is "one billion, twenty million, four hundred ten thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 977 1954 2931 3908 5862 7253 7816 8793 11724 14506 15632 17586 21759 23448 29012 35172 43518 46896 58024 65277 70344 87036 116048 130554 140688 174072 261108 348144 522216 1044432 7086181 14172362 21258543 28344724 42517086 56689448 63775629 85034172 113378896 127551258 170068344 255102516 340136688 510205032 1020410064