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1023085470 = 235113100259
BaseRepresentation
bin111100111110110…
…000101110011110
32122022010010102110
4330332300232132
54043402213340
6245304134450
734232040321
oct7476605636
92568103373
101023085470
11485561290
12246767426
13133c60b24
1499c3a7b8
155ec41680
hex3cfb0b9e

1023085470 has 32 divisors (see below), whose sum is σ = 2678624640. Its totient is φ = 248020640.

The previous prime is 1023085451. The next prime is 1023085477. The reversal of 1023085470 is 745803201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023085477) 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 15 ways as a sum of consecutive naturals, for example, 1549800 + ... + 1550459.

It is an arithmetic number, because the mean of its divisors is an integer number (83707020).

Almost surely, 21023085470 is an apocalyptic number.

1023085470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1023085470 is an abundant number, since it is smaller than the sum of its proper divisors (1655539170).

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

1023085470 is a wasteful number, since it uses less digits than its factorization.

1023085470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100280.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1023085470 is about 31985.7072768448. The cubic root of 1023085470 is about 1007.6366891901.

Adding to 1023085470 its reverse (745803201), we get a palindrome (1768888671).

The spelling of 1023085470 in words is "one billion, twenty-three million, eighty-five thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 3100259 6200518 9300777 15501295 18601554 31002590 34102849 46503885 68205698 93007770 102308547 170514245 204617094 341028490 511542735 1023085470