Search a number
-
+
41684220 = 22375953
BaseRepresentation
bin1001111100000…
…0110011111100
32220102210000000
42133000303330
541132343340
64045234300
71014211224
oct237006374
986383000
1041684220
1121590a76
1211b62990
138836326
145771084
1539d5d30
hex27c0cfc

41684220 has 96 divisors (see below), whose sum is σ = 131423040. Its totient is φ = 11104128.

The previous prime is 41684213. The next prime is 41684239. The reversal of 41684220 is 2248614.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 43264 + ... + 44216.

It is an arithmetic number, because the mean of its divisors is an integer number (1368990).

Almost surely, 241684220 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 41684220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65711520).

41684220 is an abundant number, since it is smaller than the sum of its proper divisors (89738820).

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

41684220 is an equidigital number, since it uses as much as digits as its factorization.

41684220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 41684220 is about 6456.3317758616. The cubic root of 41684220 is about 346.7293135468.

The spelling of 41684220 in words is "forty-one million, six hundred eighty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 953 972 1215 1458 1620 1906 2187 2430 2859 2916 3645 3812 4374 4765 4860 5718 7290 8577 8748 9530 10935 11436 14295 14580 17154 19060 21870 25731 28590 34308 42885 43740 51462 57180 77193 85770 102924 128655 154386 171540 231579 257310 308772 385965 463158 514620 694737 771930 926316 1157895 1389474 1543860 2084211 2315790 2778948 3473685 4168422 4631580 6947370 8336844 10421055 13894740 20842110 41684220