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41623020 = 22325534363
BaseRepresentation
bin1001111011000…
…1110111101100
32220022200001100
42132301313230
541123414040
64044043100
71013534625
oct236616754
986280040
1041623020
1121549a9a
1211b33490
13881450a
145756a4c
1539c2b30
hex27b1dec

41623020 has 72 divisors (see below), whose sum is σ = 128668176. Its totient is φ = 10887552.

The previous prime is 41623019. The next prime is 41623027. The reversal of 41623020 is 2032614.

It is a happy number.

41623020 is a `hidden beast` number, since 41 + 623 + 0 + 2 + 0 = 666.

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 41622984 and 41623002.

It is not an unprimeable number, because it can be changed into a prime (41623027) 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, 7359 + ... + 11721.

It is an arithmetic number, because the mean of its divisors is an integer number (1787058).

Almost surely, 241623020 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 41623020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64334088).

41623020 is an abundant number, since it is smaller than the sum of its proper divisors (87045156).

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

41623020 is a wasteful number, since it uses less digits than its factorization.

41623020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4431 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 41623020 is about 6451.5905015740. The cubic root of 41623020 is about 346.5595432490.

Adding to 41623020 its reverse (2032614), we get a palindrome (43655634).

It can be divided in two parts, 416 and 23020, that added together give a triangular number (23436 = T216).

The spelling of 41623020 in words is "forty-one million, six hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4363 4770 8726 9540 13089 17452 21815 26178 39267 43630 52356 65445 78534 87260 130890 157068 196335 231239 261780 392670 462478 693717 785340 924956 1156195 1387434 2081151 2312390 2774868 3468585 4162302 4624780 6937170 8324604 10405755 13874340 20811510 41623020