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41420016 = 24321179331
BaseRepresentation
bin1001111000000…
…0010011110000
32212221100120200
42132000103300
541100420031
64035435200
71012031031
oct236002360
985840520
1041420016
1121420520
1211a55b00
138772cb1
145702a88
1539828e6
hex27804f0

41420016 has 120 divisors (see below), whose sum is σ = 128444160. Its totient is φ = 12355200.

The previous prime is 41420011. The next prime is 41420017. The reversal of 41420016 is 61002414.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41420011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124971 + ... + 125301.

It is an arithmetic number, because the mean of its divisors is an integer number (1070368).

Almost surely, 241420016 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 41420016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64222080).

41420016 is an abundant number, since it is smaller than the sum of its proper divisors (87024144).

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

41420016 is a wasteful number, since it uses less digits than its factorization.

41420016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 41420016 is about 6435.8384069210. The cubic root of 41420016 is about 345.9952108217.

The spelling of 41420016 in words is "forty-one million, four hundred twenty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 79 88 99 132 144 158 176 198 237 264 316 331 396 474 528 632 662 711 792 869 948 993 1264 1324 1422 1584 1738 1896 1986 2607 2648 2844 2979 3476 3641 3792 3972 5214 5296 5688 5958 6952 7282 7821 7944 10428 10923 11376 11916 13904 14564 15642 15888 20856 21846 23832 26149 29128 31284 32769 41712 43692 47664 52298 58256 62568 65538 78447 87384 104596 125136 131076 156894 174768 209192 235341 262152 287639 313788 418384 470682 524304 575278 627576 862917 941364 1150556 1255152 1725834 1882728 2301112 2588751 3451668 3765456 4602224 5177502 6903336 10355004 13806672 20710008 41420016