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41203920 = 24351710099
BaseRepresentation
bin1001110100101…
…1100011010000
32212112101011010
42131023203100
541022011140
64031050520
71010141022
oct235134320
985471133
1041203920
112129312a
1211970a40
1386c8824
145688012
15393d880
hex274b8d0

41203920 has 80 divisors (see below), whose sum is σ = 135259200. Its totient is φ = 10340352.

The previous prime is 41203919. The next prime is 41203957. The reversal of 41203920 is 2930214.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 970 + ... + 9129.

It is an arithmetic number, because the mean of its divisors is an integer number (1690740).

Almost surely, 241203920 is an apocalyptic number.

41203920 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 41203920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67629600).

41203920 is an abundant number, since it is smaller than the sum of its proper divisors (94055280).

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

41203920 is a wasteful number, since it uses less digits than its factorization.

41203920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10132 (or 10126 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 41203920 is about 6419.0279637964. The cubic root of 41203920 is about 345.3924540465.

The spelling of 41203920 in words is "forty-one million, two hundred three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 10099 20198 30297 40396 50495 60594 80792 100990 121188 151485 161584 171683 201980 242376 302970 343366 403960 484752 515049 605940 686732 807920 858415 1030098 1211880 1373464 1716830 2060196 2423760 2575245 2746928 3433660 4120392 5150490 6867320 8240784 10300980 13734640 20601960 41203920