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40905060 = 22357172337
BaseRepresentation
bin1001110000001…
…0100101100100
32211222012012020
42130002211210
540432430220
64020423140
71004454510
oct234024544
984865166
1040905060
11210a9639
1211847ab0
1386227a1
14560b140
1538d0040
hex2702964

40905060 has 144 divisors (see below), whose sum is σ = 139461504. Its totient is φ = 8773632.

The previous prime is 40905037. The next prime is 40905061. The reversal of 40905060 is 6050904.

It is a self number, because there is not a number n which added to its sum of digits gives 40905060.

It is not an unprimeable number, because it can be changed into a prime (40905061) 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, 121212 + ... + 121548.

Almost surely, 240905060 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 40905060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69730752).

40905060 is an abundant number, since it is smaller than the sum of its proper divisors (98556444).

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

40905060 is a wasteful number, since it uses less digits than its factorization.

40905060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 40905060 is about 6395.7063722469. The cubic root of 40905060 is about 344.5553608185. Note that the first 3 decimals are identical.

Adding to 40905060 its reverse (6050904), we get a palindrome (46955964).

The spelling of 40905060 in words is "forty million, nine hundred five thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 289 337 340 357 420 476 510 578 595 674 714 867 1011 1020 1156 1190 1348 1428 1445 1685 1734 1785 2022 2023 2359 2380 2890 3370 3468 3570 4044 4046 4335 4718 5055 5729 5780 6069 6740 7077 7140 8092 8670 9436 10110 10115 11458 11795 12138 14154 17187 17340 20220 20230 22916 23590 24276 28308 28645 30345 34374 35385 40103 40460 47180 57290 60690 68748 70770 80206 85935 97393 114580 120309 121380 141540 160412 171870 194786 200515 240618 292179 343740 389572 401030 481236 486965 584358 601545 681751 802060 973930 1168716 1203090 1363502 1460895 1947860 2045253 2406180 2727004 2921790 3408755 4090506 5843580 6817510 8181012 10226265 13635020 20452530 40905060