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1020502040 = 235731372551
BaseRepresentation
bin111100110100111…
…010000000011000
32122010020212121212
4330310322000120
54042222031130
6245132522252
734201060415
oct7464720030
92563225555
101020502040
11484057318
12245920388
13133567c7c
149976710c
155e8d0e95
hex3cd3a018

1020502040 has 64 divisors (see below), whose sum is σ = 2345492160. Its totient is φ = 399513600.

The previous prime is 1020502039. The next prime is 1020502057. The reversal of 1020502040 is 402050201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398765 + ... + 401315.

It is an arithmetic number, because the mean of its divisors is an integer number (36648315).

Almost surely, 21020502040 is an apocalyptic number.

1020502040 is a gapful number since it is divisible by the number (10) 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 1020502040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172746080).

1020502040 is an abundant number, since it is smaller than the sum of its proper divisors (1324990120).

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

1020502040 is a wasteful number, since it uses less digits than its factorization.

1020502040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 1020502040 is about 31945.2976195245. The cubic root of 1020502040 is about 1006.7878343885.

Adding to 1020502040 its reverse (402050201), we get a palindrome (1422552241).

The spelling of 1020502040 in words is "one billion, twenty million, five hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 73 137 146 274 292 365 548 584 685 730 1096 1370 1460 2551 2740 2920 5102 5480 10001 10204 12755 20002 20408 25510 40004 50005 51020 80008 100010 102040 186223 200020 349487 372446 400040 698974 744892 931115 1397948 1489784 1747435 1862230 2795896 3494870 3724460 6989740 7448920 13979480 25512551 51025102 102050204 127562755 204100408 255125510 510251020 1020502040