Search a number
-
+
1021841352 = 233371374933
BaseRepresentation
bin111100111010000…
…000111111001000
32122012202220211000
4330322000333020
54043042410402
6245221335000
734215336210
oct7472007710
92565686730
101021841352
11484891594
12246267460
1313391676c
14999d5240
155ea97c1c
hex3ce80fc8

1021841352 has 128 divisors (see below), whose sum is σ = 3268281600. Its totient is φ = 289764864.

The previous prime is 1021841329. The next prime is 1021841357. The reversal of 1021841352 is 2531481201.

1021841352 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 (27).

It is not an unprimeable number, because it can be changed into a prime (1021841357) 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, 204678 + ... + 209610.

It is an arithmetic number, because the mean of its divisors is an integer number (25533450).

Almost surely, 21021841352 is an apocalyptic number.

1021841352 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 1021841352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634140800).

1021841352 is an abundant number, since it is smaller than the sum of its proper divisors (2246440248).

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

1021841352 is a wasteful number, since it uses less digits than its factorization.

1021841352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5092 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1021841352 is about 31966.2533306611. The cubic root of 1021841352 is about 1007.2280796539.

The spelling of 1021841352 in words is "one billion, twenty-one million, eight hundred forty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 137 168 189 216 252 274 378 411 504 548 756 822 959 1096 1233 1512 1644 1918 2466 2877 3288 3699 3836 4932 4933 5754 7398 7672 8631 9864 9866 11508 14796 14799 17262 19732 23016 25893 29592 29598 34524 34531 39464 44397 51786 59196 69048 69062 88794 103572 103593 118392 133191 138124 177588 207144 207186 266382 276248 310779 355176 414372 532764 621558 675821 828744 932337 1065528 1243116 1351642 1864674 2027463 2486232 2703284 3729348 4054926 4730747 5406568 6082389 7458696 8109852 9461494 12164778 14192241 16219704 18247167 18922988 24329556 28384482 36494334 37845976 42576723 48659112 56768964 72988668 85153446 113537928 127730169 145977336 170306892 255460338 340613784 510920676 1021841352