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41098240 = 210523349
BaseRepresentation
bin1001110011000…
…1110000000000
32212100000012001
42130301300000
541010120430
64024513344
71006220641
oct234616000
985300161
1041098240
1121220797
121191b854
13868c6b1
14565b6c8
15391c3ca
hex2731c00

41098240 has 88 divisors (see below), whose sum is σ = 103168800. Its totient is φ = 15679488.

The previous prime is 41098229. The next prime is 41098241. The reversal of 41098240 is 4289014.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 41098199 and 41098208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41098241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117586 + ... + 117934.

Almost surely, 241098240 is an apocalyptic number.

41098240 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 41098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51584400).

41098240 is an abundant number, since it is smaller than the sum of its proper divisors (62070560).

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

41098240 is a wasteful number, since it uses less digits than its factorization.

41098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 41098240 is about 6410.7909028450. The cubic root of 41098240 is about 345.0969131925.

The spelling of 41098240 in words is "forty-one million, ninety-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 349 368 460 512 640 698 736 920 1024 1280 1396 1472 1745 1840 2560 2792 2944 3490 3680 5120 5584 5888 6980 7360 8027 11168 11776 13960 14720 16054 22336 23552 27920 29440 32108 40135 44672 55840 58880 64216 80270 89344 111680 117760 128432 160540 178688 223360 256864 321080 357376 446720 513728 642160 893440 1027456 1284320 1786880 2054912 2568640 4109824 5137280 8219648 10274560 20549120 41098240