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41137620 = 223517311301
BaseRepresentation
bin1001110011101…
…1010111010100
32212102000012120
42130323113110
541012400440
64025415540
71006443516
oct234732724
985360176
1041137620
1121248337
121193a5b0
1386a45b4
14566bbb6
153928dd0
hex273b5d4

41137620 has 96 divisors (see below), whose sum is σ = 125991936. Its totient is φ = 9984000.

The previous prime is 41137619. The next prime is 41137633. The reversal of 41137620 is 2673114.

Together with 84854315 it forms a betrothed pair.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30970 + ... + 32270.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 241137620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41137620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62995968).

41137620 is an abundant number, since it is smaller than the sum of its proper divisors (84854316).

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

41137620 is a wasteful number, since it uses less digits than its factorization.

41137620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 41137620 is about 6413.8615513589. The cubic root of 41137620 is about 345.2071010267.

The spelling of 41137620 in words is "forty-one million, one hundred thirty-seven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 340 372 465 510 527 620 930 1020 1054 1301 1581 1860 2108 2602 2635 3162 3903 5204 5270 6324 6505 7806 7905 10540 13010 15612 15810 19515 22117 26020 31620 39030 40331 44234 66351 78060 80662 88468 110585 120993 132702 161324 201655 221170 241986 265404 331755 403310 442340 483972 604965 663510 685627 806620 1209930 1327020 1371254 2056881 2419860 2742508 3428135 4113762 6856270 8227524 10284405 13712540 20568810 41137620