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41189040 = 2433519069
BaseRepresentation
bin1001110100011…
…1111010110000
32212111121202000
42131013322300
541021022130
64030454000
71010046444
oct235077260
985447660
1041189040
1121282a32
1211964300
1386c1b19
145682824
153939260
hex2747eb0

41189040 has 80 divisors (see below), whose sum is σ = 141880800. Its totient is φ = 10983168.

The previous prime is 41189039. The next prime is 41189063. The reversal of 41189040 is 4098114.

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

It is a super-2 number, since 2×411890402 = 3393074032243200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 41188995 and 41189013.

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, 7375 + ... + 11694.

It is an arithmetic number, because the mean of its divisors is an integer number (1773510).

Almost surely, 241189040 is an apocalyptic number.

41189040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41189040 is an abundant number, since it is smaller than the sum of its proper divisors (100691760).

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

41189040 is a wasteful number, since it uses less digits than its factorization.

41189040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19091 (or 19079 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 41189040 is about 6417.8688051408. The cubic root of 41189040 is about 345.3508717690.

The spelling of 41189040 in words is "forty-one million, one hundred eighty-nine thousand, forty".

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 19069 38138 57207 76276 95345 114414 152552 171621 190690 228828 286035 305104 343242 381380 457656 514863 572070 686484 762760 858105 915312 1029726 1144140 1372968 1525520 1716210 2059452 2288280 2574315 2745936 3432420 4118904 4576560 5148630 6864840 8237808 10297260 13729680 20594520 41189040