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41405220 = 22325376217
BaseRepresentation
bin1001110111110…
…0101100100100
32212220121021200
42131330230210
541044431340
64035242500
71011636633
oct235745444
985817250
1041405220
112141039a
1211a49430
13876933c
1456db51a
15397d330
hex277cb24

41405220 has 72 divisors (see below), whose sum is σ = 129011064. Its totient is φ = 10741248.

The previous prime is 41405201. The next prime is 41405233. The reversal of 41405220 is 2250414.

41405220 is a `hidden beast` number, since 4 + 140 + 522 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16064064 + 25341156 = 4008^2 + 5034^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 41405193 and 41405202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3552 + ... + 9768.

Almost surely, 241405220 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 41405220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64505532).

41405220 is an abundant number, since it is smaller than the sum of its proper divisors (87605844).

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

41405220 is a wasteful number, since it uses less digits than its factorization.

41405220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6269 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 41405220 is about 6434.6888036641. The cubic root of 41405220 is about 345.9540072738.

Adding to 41405220 its reverse (2250414), we get a palindrome (43655634).

The spelling of 41405220 in words is "forty-one million, four hundred five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6217 6660 12434 18651 24868 31085 37302 55953 62170 74604 93255 111906 124340 186510 223812 230029 279765 373020 460058 559530 690087 920116 1119060 1150145 1380174 2070261 2300290 2760348 3450435 4140522 4600580 6900870 8281044 10351305 13801740 20702610 41405220