Search a number
-
+
41985720 = 23325716661
BaseRepresentation
bin1010000000101…
…0011010111000
32221000002120200
42200022122320
541222020340
64055522200
71016605230
oct240123270
987002520
1041985720
1121777547
1212089360
13891062a
14580ccc0
153a45330
hex280a6b8

41985720 has 96 divisors (see below), whose sum is σ = 155956320. Its totient is φ = 9596160.

The previous prime is 41985719. The next prime is 41985737. The reversal of 41985720 is 2758914.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 5811 + ... + 10850.

It is an arithmetic number, because the mean of its divisors is an integer number (1624545).

Almost surely, 241985720 is an apocalyptic number.

41985720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41985720 is an abundant number, since it is smaller than the sum of its proper divisors (113970600).

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

41985720 is a wasteful number, since it uses less digits than its factorization.

41985720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16685 (or 16678 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 41985720 is about 6479.6388788265. The cubic root of 41985720 is about 347.5632650544.

It can be divided in two parts, 41985 and 720, that multiplied together give a triangular number (30229200 = T7775).

The spelling of 41985720 in words is "forty-one million, nine hundred eighty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 16661 33322 49983 66644 83305 99966 116627 133288 149949 166610 199932 233254 249915 299898 333220 349881 399864 466508 499830 583135 599796 666440 699762 749745 933016 999660 1049643 1166270 1199592 1399524 1499490 1749405 1999320 2099286 2332540 2799048 2998980 3498810 4198572 4665080 5248215 5997960 6997620 8397144 10496430 13995240 20992860 41985720