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1020652542 = 233713229907
BaseRepresentation
bin111100110101011…
…110101111111110
32122010112112002000
4330311132233332
54042241340132
6245140043130
734202255250
oct7465365776
92563475060
101020652542
1148414a3a8
122459934a6
131335bb620
14997a5cd0
155e91087c
hex3cd5ebfe

1020652542 has 128 divisors (see below), whose sum is σ = 2806809600. Its totient is φ = 267712128.

The previous prime is 1020652541. The next prime is 1020652543. The reversal of 1020652542 is 2452560201.

1020652542 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 652 + 5 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1020652541) and next prime (1020652543).

It is a super-2 number, since 2×10206525422 = 2083463222982123528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020652541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1124853 + ... + 1125759.

It is an arithmetic number, because the mean of its divisors is an integer number (21928200).

Almost surely, 21020652542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020652542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403404800).

1020652542 is an abundant number, since it is smaller than the sum of its proper divisors (1786157058).

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

1020652542 is a wasteful number, since it uses less digits than its factorization.

1020652542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1020652542 is about 31947.6531532443. The cubic root of 1020652542 is about 1006.8373251060.

The spelling of 1020652542 in words is "one billion, twenty million, six hundred fifty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 229 234 273 351 378 458 546 687 702 819 907 1374 1603 1638 1814 2061 2457 2721 2977 3206 4122 4809 4914 5442 5954 6183 6349 8163 8931 9618 11791 12366 12698 14427 16326 17862 19047 20839 23582 24489 26793 28854 35373 38094 41678 43281 48978 53586 57141 62517 70746 80379 82537 86562 106119 114282 125034 160758 165074 171423 187551 207703 212238 247611 318357 342846 375102 415406 495222 562653 623109 636714 742833 1125306 1246218 1453921 1485666 1869327 2228499 2700139 2907842 3738654 4361763 4456998 5400278 5607981 8100417 8723526 11215962 13085289 16200834 18900973 24301251 26170578 37801946 39255867 48602502 56702919 72903753 78511734 113405838 145807506 170108757 340217514 510326271 1020652542