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41119920 = 2433519037
BaseRepresentation
bin1001110011011…
…1000010110000
32212101002221000
42130313002300
541011314140
64025202000
71006341102
oct234670260
985332830
1041119920
1121236006
1211930300
13869951a
145665572
153923a30
hex27370b0

41119920 has 80 divisors (see below), whose sum is σ = 141642720. Its totient is φ = 10964736.

The previous prime is 41119901. The next prime is 41119921. The reversal of 41119920 is 2991114.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (41119921) 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, 7359 + ... + 11678.

It is an arithmetic number, because the mean of its divisors is an integer number (1770534).

Almost surely, 241119920 is an apocalyptic number.

41119920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41119920 is an abundant number, since it is smaller than the sum of its proper divisors (100522800).

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

41119920 is a wasteful number, since it uses less digits than its factorization.

41119920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19059 (or 19047 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 41119920 is about 6412.4815789209. The cubic root of 41119920 is about 345.1575839648.

The spelling of 41119920 in words is "forty-one million, one hundred nineteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 19037 38074 57111 76148 95185 114222 152296 171333 190370 228444 285555 304592 342666 380740 456888 513999 571110 685332 761480 856665 913776 1027998 1142220 1370664 1522960 1713330 2055996 2284440 2569995 2741328 3426660 4111992 4568880 5139990 6853320 8223984 10279980 13706640 20559960 41119920