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1023620052 = 2237131019281
BaseRepresentation
bin111101000000110…
…011001111010100
32122100010021201210
4331000303033110
54044021320202
6245323421420
734236425010
oct7500631724
92570107653
101023620052
11485896994
12246984870
131340ba250
1499d39540
155ece9c6c
hex3d0333d4

1023620052 has 96 divisors (see below), whose sum is σ = 2969051904. Its totient is φ = 267264000.

The previous prime is 1023620021. The next prime is 1023620053. The reversal of 1023620052 is 2500263201.

1023620052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023620053) 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, 105652 + ... + 114932.

It is an arithmetic number, because the mean of its divisors is an integer number (30927624).

Almost surely, 21023620052 is an apocalyptic number.

1023620052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023620052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484525952).

1023620052 is an abundant number, since it is smaller than the sum of its proper divisors (1945431852).

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

1023620052 is a wasteful number, since it uses less digits than its factorization.

1023620052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9409 (or 9407 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1023620052 is about 31994.0627617063. The cubic root of 1023620052 is about 1007.8121618685.

Adding to 1023620052 its reverse (2500263201), we get a palindrome (3523883253).

The spelling of 1023620052 in words is "one billion, twenty-three million, six hundred twenty thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 101 156 182 202 273 303 364 404 546 606 707 1092 1212 1313 1414 2121 2626 2828 3939 4242 5252 7878 8484 9191 9281 15756 18382 18562 27573 27843 36764 37124 55146 55686 64967 110292 111372 120653 129934 194901 241306 259868 361959 389802 482612 723918 779604 844571 937381 1447836 1689142 1874762 2533713 2812143 3378284 3749524 5067426 5624286 6561667 10134852 11248572 12185953 13123334 19685001 24371906 26246668 36557859 39370002 48743812 73115718 78740004 85301671 146231436 170603342 255905013 341206684 511810026 1023620052