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81373680 = 24335101373
BaseRepresentation
bin1001101100110…
…10100111110000
312200010012201000
410312122213300
5131312424210
612024042000
72005444023
oct466324760
9180105630
1081373680
1141a2a283
1223303300
1313b2170b
14ab431ba
157225ac0
hex4d9a9f0

81373680 has 160 divisors (see below), whose sum is σ = 283821120. Its totient is φ = 21427200.

The previous prime is 81373657. The next prime is 81373697. The reversal of 81373680 is 8637318.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217974 + ... + 218346.

It is an arithmetic number, because the mean of its divisors is an integer number (1773882).

Almost surely, 281373680 is an apocalyptic number.

81373680 is a gapful number since it is divisible by the number (80) 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 81373680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141910560).

81373680 is an abundant number, since it is smaller than the sum of its proper divisors (202447440).

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

81373680 is a wasteful number, since it uses less digits than its factorization.

81373680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 81373680 is about 9020.7361118703. The cubic root of 81373680 is about 433.3392083359.

The spelling of 81373680 in words is "eighty-one million, three hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 101 108 120 135 144 180 202 216 240 270 303 360 373 404 432 505 540 606 720 746 808 909 1010 1080 1119 1212 1492 1515 1616 1818 1865 2020 2160 2238 2424 2727 2984 3030 3357 3636 3730 4040 4476 4545 4848 5454 5595 5968 6060 6714 7272 7460 8080 8952 9090 10071 10908 11190 12120 13428 13635 14544 14920 16785 17904 18180 20142 21816 22380 24240 26856 27270 29840 33570 36360 37673 40284 43632 44760 50355 53712 54540 67140 72720 75346 80568 89520 100710 109080 113019 134280 150692 161136 188365 201420 218160 226038 268560 301384 339057 376730 402840 452076 565095 602768 678114 753460 805680 904152 1017171 1130190 1356228 1506920 1695285 1808304 2034342 2260380 2712456 3013840 3390570 4068684 4520760 5085855 5424912 6781140 8137368 9041520 10171710 13562280 16274736 20343420 27124560 40686840 81373680