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8181012 = 2237172337
BaseRepresentation
bin11111001101010100010100
3120101122020110
4133031110110
54043243022
6451203020
7126352230
oct37152424
916348213
108181012
114688574
1228a6470
131905948
14112d5c0
15ab900c
hex7cd514

8181012 has 72 divisors (see below), whose sum is σ = 23243584. Its totient is φ = 2193408.

The previous prime is 8181011. The next prime is 8181023. The reversal of 8181012 is 2101818.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 8181012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8181011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24108 + ... + 24444.

Almost surely, 28181012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8181012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11621792).

8181012 is an abundant number, since it is smaller than the sum of its proper divisors (15062572).

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

8181012 is a wasteful number, since it uses less digits than its factorization.

8181012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The square root of 8181012 is about 2860.2468424945. The cubic root of 8181012 is about 201.4971973659.

It can be divided in two parts, 818 and 1012, that added together give a triangular number (1830 = T60).

The spelling of 8181012 in words is "eight million, one hundred eighty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 289 337 357 476 578 674 714 867 1011 1156 1348 1428 1734 2022 2023 2359 3468 4044 4046 4718 5729 6069 7077 8092 9436 11458 12138 14154 17187 22916 24276 28308 34374 40103 68748 80206 97393 120309 160412 194786 240618 292179 389572 481236 584358 681751 1168716 1363502 2045253 2727004 4090506 8181012