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80927820 = 223251753499
BaseRepresentation
bin1001101001011…
…01110001001100
312122021120002200
410310231301030
5131204142240
612010321500
72001606111
oct464556114
9178246080
1080927820
11417552a6
1223129290
13139c67ac
14aa68908
157188930
hex4d2dc4c

80927820 has 144 divisors (see below), whose sum is σ = 265356000. Its totient is φ = 19888128.

The previous prime is 80927801. The next prime is 80927827. The reversal of 80927820 is 2872908.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80927827) by changing a digit.

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, 161931 + ... + 162429.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750).

Almost surely, 280927820 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 80927820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132678000).

80927820 is an abundant number, since it is smaller than the sum of its proper divisors (184428180).

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

80927820 is a wasteful number, since it uses less digits than its factorization.

80927820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 80927820 is about 8995.9891062629. The cubic root of 80927820 is about 432.5463124363.

The spelling of 80927820 in words is "eighty million, nine hundred twenty-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 53 60 68 85 90 102 106 153 159 170 180 204 212 255 265 306 318 340 477 499 510 530 612 636 765 795 901 954 998 1020 1060 1497 1530 1590 1802 1908 1996 2385 2495 2703 2994 3060 3180 3604 4491 4505 4770 4990 5406 5988 7485 8109 8483 8982 9010 9540 9980 10812 13515 14970 16218 16966 17964 18020 22455 25449 26447 27030 29940 32436 33932 40545 42415 44910 50898 52894 54060 76347 79341 81090 84830 89820 101796 105788 127245 132235 152694 158682 162180 169660 238023 254490 264470 305388 317364 381735 396705 449599 476046 508980 528940 763470 793410 899198 952092 1190115 1348797 1526940 1586820 1798396 2247995 2380230 2697594 4046391 4495990 4760460 5395188 6743985 8092782 8991980 13487970 16185564 20231955 26975940 40463910 80927820