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41790540 = 223511232753
BaseRepresentation
bin1001111101101…
…0110001001100
32220122011211210
42133122301030
541144244130
64051414420
71015133211
oct237326114
986564753
1041790540
1121653940
1211bb4410
13887283c
14579bb08
153a075b0
hex27dac4c

41790540 has 96 divisors (see below), whose sum is σ = 133249536. Its totient is φ = 9687040.

The previous prime is 41790527. The next prime is 41790569. The reversal of 41790540 is 4509714.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 41790498 and 41790507.

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, 13804 + ... + 16556.

It is an arithmetic number, because the mean of its divisors is an integer number (1388016).

Almost surely, 241790540 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 41790540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66624768).

41790540 is an abundant number, since it is smaller than the sum of its proper divisors (91458996).

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

41790540 is a wasteful number, since it uses less digits than its factorization.

41790540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 41790540 is about 6464.5603098741. The cubic root of 41790540 is about 347.0238531662.

The spelling of 41790540 in words is "forty-one million, seven hundred ninety thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 2753 3036 3795 5060 5506 7590 8259 11012 13765 15180 16518 27530 30283 33036 41295 55060 60566 63319 82590 90849 121132 126638 151415 165180 181698 189957 253276 302830 316595 363396 379914 454245 605660 633190 696509 759828 908490 949785 1266380 1393018 1816980 1899570 2089527 2786036 3482545 3799140 4179054 6965090 8358108 10447635 13930180 20895270 41790540