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427656680 = 235113472801
BaseRepresentation
bin11001011111011…
…000010111101000
31002210201012200022
4121133120113220
51333440003210
6110234100012
713412010323
oct3137302750
91083635608
10427656680
111aa445880
12bb27a608
136a7a5ab9
1440b237ba
1527828155
hex197d85e8

427656680 has 64 divisors (see below), whose sum is σ = 1053103680. Its totient is φ = 155008000.

The previous prime is 427656667. The next prime is 427656781. The reversal of 427656680 is 86656724.

It is a super-3 number, since 3×4276566803 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151280 + ... + 154080.

It is an arithmetic number, because the mean of its divisors is an integer number (16454745).

Almost surely, 2427656680 is an apocalyptic number.

427656680 is a gapful number since it is divisible by the number (40) 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 427656680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526551840).

427656680 is an abundant number, since it is smaller than the sum of its proper divisors (625447000).

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

427656680 is a wasteful number, since it uses less digits than its factorization.

427656680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The square root of 427656680 is about 20679.8617016652. The cubic root of 427656680 is about 753.4106472108.

Adding to 427656680 its sum of digits (44), we get a palindrome (427656724).

The spelling of 427656680 in words is "four hundred twenty-seven million, six hundred fifty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 347 440 694 1388 1735 2776 2801 3470 3817 5602 6940 7634 11204 13880 14005 15268 19085 22408 28010 30536 30811 38170 56020 61622 76340 112040 123244 152680 154055 246488 308110 616220 971947 1232440 1943894 3887788 4859735 7775576 9719470 10691417 19438940 21382834 38877880 42765668 53457085 85531336 106914170 213828340 427656680