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1087020 = 223451161
BaseRepresentation
bin100001001011000101100
32001020010000
410021120230
5234241040
635144300
712145104
oct4113054
92036100
101087020
11682770
12445090
132c0a0c
14204204
15167130
hex10962c

1087020 has 120 divisors (see below), whose sum is σ = 3781008. Its totient is φ = 259200.

The previous prime is 1087019. The next prime is 1087027. The reversal of 1087020 is 207801.

It is a super-3 number, since 3×10870203 = 3853309195333224000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 1086984 and 1087002.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 183 × 33 × 180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087027) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17790 + ... + 17850.

21087020 is an apocalyptic number.

1087020 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 1087020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890504).

1087020 is an abundant number, since it is smaller than the sum of its proper divisors (2693988).

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

1087020 is a wasteful number, since it uses less digits than its factorization.

1087020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1087020 is about 1042.6025129454. The cubic root of 1087020 is about 102.8203737622.

The spelling of 1087020 in words is "one million, eighty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 61 66 81 90 99 108 110 122 132 135 162 165 180 183 198 220 244 270 297 305 324 330 366 396 405 495 540 549 594 610 660 671 732 810 891 915 990 1098 1188 1220 1342 1485 1620 1647 1782 1830 1980 2013 2196 2684 2745 2970 3294 3355 3564 3660 4026 4455 4941 5490 5940 6039 6588 6710 8052 8235 8910 9882 10065 10980 12078 13420 16470 17820 18117 19764 20130 24156 24705 30195 32940 36234 40260 49410 54351 60390 72468 90585 98820 108702 120780 181170 217404 271755 362340 543510 1087020