Search a number
-
+
1021000632 = 23382351691
BaseRepresentation
bin111100110110110…
…011101110111000
32122011012012120020
4330312303232320
54042334010012
6245151330440
734205235141
oct7466635670
92564165506
101021000632
11484367983
12245b20a20
131336b0bb2
1499856ac8
155e97da8c
hex3cdb3bb8

1021000632 has 32 divisors (see below), whose sum is σ = 2555652480. Its totient is φ = 339913440.

The previous prime is 1021000601. The next prime is 1021000633. The reversal of 1021000632 is 2360001201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021000633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6094 + ... + 45597.

It is an arithmetic number, because the mean of its divisors is an integer number (79864140).

Almost surely, 21021000632 is an apocalyptic number.

1021000632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1021000632 is an abundant number, since it is smaller than the sum of its proper divisors (1534651848).

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

1021000632 is a wasteful number, since it uses less digits than its factorization.

1021000632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52523 (or 52519 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1021000632 is about 31953.1005068366. The cubic root of 1021000632 is about 1006.9517715526.

Adding to 1021000632 its reverse (2360001201), we get a palindrome (3381001833).

The spelling of 1021000632 in words is "one billion, twenty-one million, six hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 823 1646 2469 3292 4938 6584 9876 19752 51691 103382 155073 206764 310146 413528 620292 1240584 42541693 85083386 127625079 170166772 255250158 340333544 510500316 1021000632