Search a number
-
+
41276680 = 23517101601
BaseRepresentation
bin1001110101110…
…1010100001000
32212200001221221
42131131110020
541031323210
64032411424
71010563114
oct235352410
985601857
1041276680
1121332865
12119a6b74
138722993
1456a6744
1539551da
hex275d508

41276680 has 64 divisors (see below), whose sum is σ = 99474480. Its totient is φ = 15360000.

The previous prime is 41276671. The next prime is 41276681. The reversal of 41276680 is 8667214.

It can be written as a sum of positive squares in 8 ways, for example, as 39162564 + 2114116 = 6258^2 + 1454^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (41276681) 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, 68380 + ... + 68980.

Almost surely, 241276680 is an apocalyptic number.

41276680 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 41276680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49737240).

41276680 is an abundant number, since it is smaller than the sum of its proper divisors (58197800).

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

41276680 is a wasteful number, since it uses less digits than its factorization.

41276680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 41276680 is about 6424.6929887739. The cubic root of 41276680 is about 345.5956384123.

The spelling of 41276680 in words is "forty-one million, two hundred seventy-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 101 136 170 202 340 404 505 601 680 808 1010 1202 1717 2020 2404 3005 3434 4040 4808 6010 6868 8585 10217 12020 13736 17170 20434 24040 34340 40868 51085 60701 68680 81736 102170 121402 204340 242804 303505 408680 485608 607010 1031917 1214020 2063834 2428040 4127668 5159585 8255336 10319170 20638340 41276680