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81223680 = 21335661
BaseRepresentation
bin1001101011101…
…10000000000000
312122211120221110
410311312000000
5131243124210
612020523320
72004250506
oct465660000
9178746843
1081223680
114193760a
1223250540
1313a9b365
14ab04676
1571e6420
hex4d76000

81223680 has 112 divisors (see below), whose sum is σ = 260293104. Its totient is φ = 21626880.

The previous prime is 81223663. The next prime is 81223687. The reversal of 81223680 is 8632218.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81223687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122550 + ... + 123210.

Almost surely, 281223680 is an apocalyptic number.

81223680 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 81223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130146552).

81223680 is an abundant number, since it is smaller than the sum of its proper divisors (179069424).

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

81223680 is an equidigital number, since it uses as much as digits as its factorization.

81223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 81223680 is about 9012.4180994892. The cubic root of 81223680 is about 433.0727795924.

Adding to 81223680 its reverse (8632218), we get a palindrome (89855898).

The spelling of 81223680 in words is "eighty-one million, two hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 661 768 960 1024 1280 1322 1536 1920 1983 2048 2560 2644 3072 3305 3840 3966 4096 5120 5288 6144 6610 7680 7932 8192 9915 10240 10576 12288 13220 15360 15864 19830 20480 21152 24576 26440 30720 31728 39660 40960 42304 52880 61440 63456 79320 84608 105760 122880 126912 158640 169216 211520 253824 317280 338432 423040 507648 634560 676864 846080 1015296 1269120 1353728 1692160 2030592 2538240 2707456 3384320 4061184 5076480 5414912 6768640 8122368 10152960 13537280 16244736 20305920 27074560 40611840 81223680