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1020322040 = 2351910712547
BaseRepresentation
bin111100110100001…
…110000011111000
32122002220201201012
4330310032003320
54042200301130
6245125013052
734166410553
oct7464160370
92562821635
101020322040
11483a44061
12245854188
1313350406a
149971b69a
155e897995
hex3cd0e0f8

1020322040 has 64 divisors (see below), whose sum is σ = 2439331200. Its totient is φ = 383004288.

The previous prime is 1020322007. The next prime is 1020322049. The reversal of 1020322040 is 402230201.

1020322040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020322049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75047 + ... + 87593.

It is an arithmetic number, because the mean of its divisors is an integer number (38114550).

Almost surely, 21020322040 is an apocalyptic number.

1020322040 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 1020322040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219665600).

1020322040 is an abundant number, since it is smaller than the sum of its proper divisors (1419009160).

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

1020322040 is a wasteful number, since it uses less digits than its factorization.

1020322040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12684 (or 12680 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1020322040 is about 31942.4801792222. The cubic root of 1020322040 is about 1006.7286372290.

Adding to 1020322040 its reverse (402230201), we get a palindrome (1422552241).

The spelling of 1020322040 in words is "one billion, twenty million, three hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 107 152 190 214 380 428 535 760 856 1070 2033 2140 4066 4280 8132 10165 12547 16264 20330 25094 40660 50188 62735 81320 100376 125470 238393 250940 476786 501880 953572 1191965 1342529 1907144 2383930 2685058 4767860 5370116 6712645 9535720 10740232 13425290 25508051 26850580 51016102 53701160 102032204 127540255 204064408 255080510 510161020 1020322040