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41090880 = 2635231861
BaseRepresentation
bin1001110010111…
…1111101000000
32212022122002110
42130233331000
541004402010
64024415320
71006160325
oct234577500
985278073
1041090880
1121216206
1211917540
13868923c
145658b4c
15391a120
hex272ff40

41090880 has 112 divisors (see below), whose sum is σ = 136209024. Its totient is φ = 10475520.

The previous prime is 41090879. The next prime is 41090891. The reversal of 41090880 is 8809014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 21150 + ... + 23010.

It is an arithmetic number, because the mean of its divisors is an integer number (1216152).

Almost surely, 241090880 is an apocalyptic number.

41090880 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 41090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68104512).

41090880 is an abundant number, since it is smaller than the sum of its proper divisors (95118144).

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

41090880 is a wasteful number, since it uses less digits than its factorization.

41090880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 41090880 is about 6410.2168450061. The cubic root of 41090880 is about 345.0763116216.

Adding to 41090880 its reverse (8809014), we get a palindrome (49899894).

The spelling of 41090880 in words is "forty-one million, ninety thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1104 1380 1472 1840 1861 2208 2760 3680 3722 4416 5520 5583 7360 7444 9305 11040 11166 14888 18610 22080 22332 27915 29776 37220 42803 44664 55830 59552 74440 85606 89328 111660 119104 128409 148880 171212 178656 214015 223320 256818 297760 342424 357312 428030 446640 513636 595520 642045 684848 856060 893280 1027272 1284090 1369696 1712120 1786560 2054544 2568180 2739392 3424240 4109088 5136360 6848480 8218176 10272720 13696960 20545440 41090880