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80947680 = 25351115331
BaseRepresentation
bin1001101001100…
…10100111100000
312122022120100020
410310302213200
5131210311210
612010553440
72002021032
oct464624740
9178276306
1080947680
1141769210
1223138880
1313a02848
14aa71c52
15718e770
hex4d329e0

80947680 has 96 divisors (see below), whose sum is σ = 278183808. Its totient is φ = 19622400.

The previous prime is 80947673. The next prime is 80947687. The reversal of 80947680 is 8674908.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80947673) and next prime (80947687).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80947687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2386 + ... + 12945.

It is an arithmetic number, because the mean of its divisors is an integer number (2897748).

Almost surely, 280947680 is an apocalyptic number.

80947680 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 80947680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139091904).

80947680 is an abundant number, since it is smaller than the sum of its proper divisors (197236128).

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

80947680 is a wasteful number, since it uses less digits than its factorization.

80947680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15360 (or 15352 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 80947680 is about 8997.0928638088. The cubic root of 80947680 is about 432.5816923882.

The spelling of 80947680 in words is "eighty million, nine hundred forty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 15331 30662 45993 61324 76655 91986 122648 153310 168641 183972 229965 245296 306620 337282 367944 459930 490592 505923 613240 674564 735888 843205 919860 1011846 1226480 1349128 1471776 1686410 1839720 2023692 2452960 2529615 2698256 3372820 3679440 4047384 5059230 5396512 6745640 7358880 8094768 10118460 13491280 16189536 20236920 26982560 40473840 80947680