[go: up one dir, main page]

Search a number
-
+
40246560 = 25325191471
BaseRepresentation
bin1001100110000…
…1110100100000
32210201201220100
42121201310200
540300342220
63554342400
7666042624
oct231416440
983651810
1040246560
1120799922
121158aa00
138451b43
1454b9184
1537eed90
hex2661d20

40246560 has 144 divisors (see below), whose sum is σ = 144668160. Its totient is φ = 10160640.

The previous prime is 40246537. The next prime is 40246567. The reversal of 40246560 is 6564204.

It is a happy number.

40246560 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (40246567) 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, 26625 + ... + 28095.

It is an arithmetic number, because the mean of its divisors is an integer number (1004640).

Almost surely, 240246560 is an apocalyptic number.

40246560 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 40246560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72334080).

40246560 is an abundant number, since it is smaller than the sum of its proper divisors (104421600).

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

40246560 is a wasteful number, since it uses less digits than its factorization.

40246560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 40246560 is about 6344.0176544521. The cubic root of 40246560 is about 342.6964365892.

The spelling of 40246560 in words is "forty million, two hundred forty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1471 1520 1710 1824 2280 2736 2942 3040 3420 4413 4560 5472 5884 6840 7355 8826 9120 11768 13239 13680 14710 17652 22065 23536 26478 27360 27949 29420 35304 44130 47072 52956 55898 58840 66195 70608 83847 88260 105912 111796 117680 132390 139745 141216 167694 176520 211824 223592 235360 251541 264780 279490 335388 353040 419235 423648 447184 503082 529560 558980 670776 706080 838470 894368 1006164 1059120 1117960 1257705 1341552 1676940 2012328 2118240 2235920 2515410 2683104 3353880 4024656 4471840 5030820 6707760 8049312 10061640 13415520 20123280 40246560