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1142680 = 235721153
BaseRepresentation
bin100010110111110011000
32011001110111
410112332120
5243031210
640254104
712466300
oct4267630
92131414
101142680
11710570
12471334
13310156
1421a600
1517888a
hex116f98

1142680 has 96 divisors (see below), whose sum is σ = 3324240. Its totient is φ = 349440.

The previous prime is 1142677. The next prime is 1142693. The reversal of 1142680 is 862411.

1142680 = T14 + T15 + ... + T189.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21534 + ... + 21586.

21142680 is an apocalyptic number.

1142680 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 1142680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662120).

1142680 is an abundant number, since it is smaller than the sum of its proper divisors (2181560).

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

1142680 is a wasteful number, since it uses less digits than its factorization.

1142680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1142680 is about 1068.9621134540. The cubic root of 1142680 is about 104.5461896036.

The spelling of 1142680 in words is "one million, one hundred forty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 53 55 56 70 77 88 98 106 110 140 154 196 212 220 245 265 280 308 371 385 392 424 440 490 530 539 583 616 742 770 980 1060 1078 1166 1484 1540 1855 1960 2120 2156 2332 2597 2695 2915 2968 3080 3710 4081 4312 4664 5194 5390 5830 7420 8162 10388 10780 11660 12985 14840 16324 20405 20776 21560 23320 25970 28567 32648 40810 51940 57134 81620 103880 114268 142835 163240 228536 285670 571340 1142680