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1021531140 = 2232571077577
BaseRepresentation
bin111100111000110…
…101010000000100
32122012012011021200
4330320311100010
54043002444030
6245210542500
734212604620
oct7470652004
92565164250
101021531140
1148469a513
12246137a30
131338384c6
1499954180
155ea35d60
hex3ce35404

1021531140 has 144 divisors (see below), whose sum is σ = 3574876032. Its totient is φ = 231280128.

The previous prime is 1021531129. The next prime is 1021531163. The reversal of 1021531140 is 411351201.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 131032 + ... + 138608.

It is an arithmetic number, because the mean of its divisors is an integer number (24825528).

Almost surely, 21021531140 is an apocalyptic number.

1021531140 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 1021531140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787438016).

1021531140 is an abundant number, since it is smaller than the sum of its proper divisors (2553344892).

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

1021531140 is a wasteful number, since it uses less digits than its factorization.

1021531140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7706 (or 7701 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1021531140 is about 31961.4007828193. The cubic root of 1021531140 is about 1007.1261441103.

Adding to 1021531140 its reverse (411351201), we get a palindrome (1432882341).

The spelling of 1021531140 in words is "one billion, twenty-one million, five hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 107 126 140 180 210 214 252 315 321 420 428 535 630 642 749 963 1070 1260 1284 1498 1605 1926 2140 2247 2996 3210 3745 3852 4494 4815 6420 6741 7490 7577 8988 9630 11235 13482 14980 15154 19260 22470 22731 26964 30308 33705 37885 44940 45462 53039 67410 68193 75770 90924 106078 113655 134820 136386 151540 159117 212156 227310 265195 272772 318234 340965 454620 477351 530390 636468 681930 795585 810739 954702 1060780 1363860 1591170 1621478 1909404 2386755 2432217 3182340 3242956 4053695 4773510 4864434 5675173 7296651 8107390 9547020 9728868 11350346 12161085 14593302 16214780 17025519 22700692 24322170 28375865 29186604 34051038 36483255 48644340 51076557 56751730 68102076 72966510 85127595 102153114 113503460 145933020 170255190 204306228 255382785 340510380 510765570 1021531140