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41680920 = 2335347341
BaseRepresentation
bin1001111100000…
…0000000011000
32220102121110210
42133000000120
541132242140
64045211120
71014165501
oct237000030
986377423
1041680920
1121589546
1211b60aa0
138834988
14576dba8
1539d4d80
hex27c0018

41680920 has 32 divisors (see below), whose sum is σ = 125043120. Its totient is φ = 11114880.

The previous prime is 41680913. The next prime is 41680921. The reversal of 41680920 is 2908614.

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 (41680921) 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, 173551 + ... + 173790.

Almost surely, 241680920 is an apocalyptic number.

41680920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41680920 is an abundant number, since it is smaller than the sum of its proper divisors (83362200).

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

41680920 is a wasteful number, since it uses less digits than its factorization.

41680920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347355 (or 347351 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 41680920 is about 6456.0762077287. The cubic root of 41680920 is about 346.7201635061.

The spelling of 41680920 in words is "forty-one million, six hundred eighty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 347341 694682 1042023 1389364 1736705 2084046 2778728 3473410 4168092 5210115 6946820 8336184 10420230 13893640 20840460 41680920