Search a number
-
+
40220460 = 223257137233
BaseRepresentation
bin1001100101101…
…1011100101100
32210200102002200
42121123130230
540244023320
63554021500
7665603550
oct231333454
983612080
1040220460
1120781255
1211577890
138442cb7
1454ad860
1537e7290
hex265b72c

40220460 has 144 divisors (see below), whose sum is σ = 141051456. Its totient is φ = 9086976.

The previous prime is 40220459. The next prime is 40220461. The reversal of 40220460 is 6402204.

40220460 is a `hidden beast` number, since 402 + 204 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (40220459) and next prime (40220461).

It is a super-2 number, since 2×402204602 = 3235370805223200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (40220461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172504 + ... + 172736.

It is an arithmetic number, because the mean of its divisors is an integer number (979524).

Almost surely, 240220460 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 40220460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70525728).

40220460 is an abundant number, since it is smaller than the sum of its proper divisors (100830996).

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

40220460 is a wasteful number, since it uses less digits than its factorization.

40220460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40220460 is about 6341.9602647762. The cubic root of 40220460 is about 342.6223407230.

Adding to 40220460 its reverse (6402204), we get a palindrome (46622664).

The spelling of 40220460 in words is "forty million, two hundred twenty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 137 140 180 210 233 252 274 315 411 420 466 548 630 685 699 822 932 959 1165 1233 1260 1370 1398 1631 1644 1918 2055 2097 2330 2466 2740 2796 2877 3262 3495 3836 4110 4194 4660 4795 4893 4932 5754 6165 6524 6990 8155 8220 8388 8631 9590 9786 10485 11508 12330 13980 14385 14679 16310 17262 19180 19572 20970 24465 24660 28770 29358 31921 32620 34524 41940 43155 48930 57540 58716 63842 73395 86310 95763 97860 127684 146790 159605 172620 191526 223447 287289 293580 319210 383052 446894 478815 574578 638420 670341 893788 957630 1117235 1149156 1340682 1436445 1915260 2011023 2234470 2681364 2872890 3351705 4022046 4468940 5745780 6703410 8044092 10055115 13406820 20110230 40220460