Search a number
-
+
1020534336 = 26335631049
BaseRepresentation
bin111100110101000…
…001111001000000
32122010022111221000
4330311001321000
54042224044321
6245133332000
734201253523
oct7465017100
92563274830
101020534336
11484079608
12245937000
13133579893
1499774bba
155e8da826
hex3cd41e40

1020534336 has 112 divisors (see below), whose sum is σ = 3008376000. Its totient is φ = 339250176.

The previous prime is 1020534313. The next prime is 1020534337. The reversal of 1020534336 is 6334350201.

It is a happy number.

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 (1020534337) by changing a digit.

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, 972340 + ... + 973388.

It is an arithmetic number, because the mean of its divisors is an integer number (26860500).

Almost surely, 21020534336 is an apocalyptic number.

1020534336 is a gapful number since it is divisible by the number (16) 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 1020534336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504188000).

1020534336 is an abundant number, since it is smaller than the sum of its proper divisors (1987841664).

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

1020534336 is a wasteful number, since it uses less digits than its factorization.

1020534336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 1020534336 is about 31945.8031046333. The cubic root of 1020534336 is about 1006.7984549379.

Adding to 1020534336 its reverse (6334350201), we get a palindrome (7354884537).

The spelling of 1020534336 in words is "one billion, twenty million, five hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 563 576 864 1049 1126 1689 1728 2098 2252 3147 3378 4196 4504 5067 6294 6756 8392 9008 9441 10134 12588 13512 15201 16784 18016 18882 20268 25176 27024 28323 30402 33568 36032 37764 40536 50352 54048 56646 60804 67136 75528 81072 100704 108096 113292 121608 151056 162144 201408 226584 243216 302112 324288 453168 486432 590587 604224 906336 972864 1181174 1771761 1812672 2362348 3543522 4724696 5315283 7087044 9449392 10630566 14174088 15945849 18898784 21261132 28348176 31891698 37797568 42522264 56696352 63783396 85044528 113392704 127566792 170089056 255133584 340178112 510267168 1020534336