Search a number
-
+
41940240 = 2435374723
BaseRepresentation
bin1001111111111…
…1010100010000
32220220210012020
42133333110100
541214041430
64054531440
71016325516
oct237772420
986823166
1041940240
1121746361
1212066b80
1388c5a14
1457da4b6
153a36b10
hex27ff510

41940240 has 80 divisors (see below), whose sum is σ = 133556928. Its totient is φ = 10879488.

The previous prime is 41940169. The next prime is 41940263. The reversal of 41940240 is 4204914.

41940240 = T279 + T280 + ... + T648.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41940240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6519 + ... + 11241.

Almost surely, 241940240 is an apocalyptic number.

41940240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41940240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66778464).

41940240 is an abundant number, since it is smaller than the sum of its proper divisors (91616688).

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

41940240 is a wasteful number, since it uses less digits than its factorization.

41940240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4776 (or 4770 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 41940240 is about 6476.1284730925. The cubic root of 41940240 is about 347.4377232566.

The spelling of 41940240 in words is "forty-one million, nine hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 4723 8880 9446 14169 18892 23615 28338 37784 47230 56676 70845 75568 94460 113352 141690 174751 188920 226704 283380 349502 377840 524253 566760 699004 873755 1048506 1133520 1398008 1747510 2097012 2621265 2796016 3495020 4194024 5242530 6990040 8388048 10485060 13980080 20970120 41940240