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41920320 = 2635133359
BaseRepresentation
bin1001111111101…
…0011101000000
32220212202212110
42133322131000
541212422240
64054255320
71016213451
oct237723500
986782773
1041920320
11217323a2
1212057540
1388b9930
1457d3128
153a30c80
hex27fa740

41920320 has 112 divisors (see below), whose sum is σ = 143377920. Its totient is φ = 10315776.

The previous prime is 41920309. The next prime is 41920343. The reversal of 41920320 is 2302914.

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, 10801 + ... + 14159.

It is an arithmetic number, because the mean of its divisors is an integer number (1280160).

Almost surely, 241920320 is an apocalyptic number.

41920320 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 41920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71688960).

41920320 is an abundant number, since it is smaller than the sum of its proper divisors (101457600).

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

41920320 is a wasteful number, since it uses less digits than its factorization.

41920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3382 counting only the distinct ones).

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

The square root of 41920320 is about 6474.5903345308. The cubic root of 41920320 is about 347.3827080297.

The spelling of 41920320 in words is "forty-one million, nine hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 3359 4160 6240 6718 10077 12480 13436 16795 20154 26872 33590 40308 43667 50385 53744 67180 80616 87334 100770 107488 131001 134360 161232 174668 201540 214976 218335 262002 268720 322464 349336 403080 436670 524004 537440 644928 655005 698672 806160 873340 1048008 1074880 1310010 1397344 1612320 1746680 2096016 2620020 2794688 3224640 3493360 4192032 5240040 6986720 8384064 10480080 13973440 20960160 41920320