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41350920 = 23351322039
BaseRepresentation
bin1001110110111…
…1011100001000
32212210211210120
42131233130020
541041212140
64034143240
71011322422
oct235573410
985724716
1041350920
1121383616
1211a21b20
13874a700
1456c5812
15396c1d0
hex276f708

41350920 has 96 divisors (see below), whose sum is σ = 134395200. Its totient is φ = 10173696.

The previous prime is 41350901. The next prime is 41350921. The reversal of 41350920 is 2905314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (41350921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19261 + ... + 21299.

It is an arithmetic number, because the mean of its divisors is an integer number (1399950).

Almost surely, 241350920 is an apocalyptic number.

41350920 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 41350920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67197600).

41350920 is an abundant number, since it is smaller than the sum of its proper divisors (93044280).

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

41350920 is a wasteful number, since it uses less digits than its factorization.

41350920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 41350920 is about 6430.4681011572. The cubic root of 41350920 is about 345.8027097607.

The spelling of 41350920 in words is "forty-one million, three hundred fifty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 169 195 260 312 338 390 507 520 676 780 845 1014 1352 1560 1690 2028 2039 2535 3380 4056 4078 5070 6117 6760 8156 10140 10195 12234 16312 20280 20390 24468 26507 30585 40780 48936 53014 61170 79521 81560 106028 122340 132535 159042 212056 244680 265070 318084 344591 397605 530140 636168 689182 795210 1033773 1060280 1378364 1590420 1722955 2067546 2756728 3180840 3445910 4135092 5168865 6891820 8270184 10337730 13783640 20675460 41350920