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40092780 = 223572131049
BaseRepresentation
bin1001100011110…
…0010001101100
32210102220221210
42120330101230
540230432110
63551154420
7664532400
oct230742154
983386853
1040092780
11206a4332
1211515a10
1383c9b50
145479100
1537be520
hex263c46c

40092780 has 144 divisors (see below), whose sum is σ = 140767200. Its totient is φ = 8451072.

The previous prime is 40092763. The next prime is 40092781. The reversal of 40092780 is 8729004.

It is a super-3 number, since 3×400927803 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (40092781) 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, 37696 + ... + 38744.

It is an arithmetic number, because the mean of its divisors is an integer number (977550).

Almost surely, 240092780 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 40092780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70383600).

40092780 is an abundant number, since it is smaller than the sum of its proper divisors (100674420).

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

40092780 is a wasteful number, since it uses less digits than its factorization.

40092780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 40092780 is about 6331.8859749683. The cubic root of 40092780 is about 342.2594044388.

The spelling of 40092780 in words is "forty million, ninety-two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 65 70 78 84 91 98 105 130 140 147 156 182 195 196 210 245 260 273 294 364 390 420 455 490 546 588 637 735 780 910 980 1049 1092 1274 1365 1470 1820 1911 2098 2548 2730 2940 3147 3185 3822 4196 5245 5460 6294 6370 7343 7644 9555 10490 12588 12740 13637 14686 15735 19110 20980 22029 27274 29372 31470 36715 38220 40911 44058 51401 54548 62940 68185 73430 81822 88116 95459 102802 110145 136370 146860 154203 163644 190918 204555 205604 220290 257005 272740 286377 308406 381836 409110 440580 477295 514010 572754 616812 668213 771015 818220 954590 1028020 1145508 1336426 1431885 1542030 1909180 2004639 2672852 2863770 3084060 3341065 4009278 5727540 6682130 8018556 10023195 13364260 20046390 40092780