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412053240 = 233531257431
BaseRepresentation
bin11000100011110…
…110111011111000
31001201100110210010
4120203312323320
51320441200430
6104515421520
713132252254
oct3043667370
91051313703
10412053240
111a1658775
12b5bb48a0
13674a18b1
143ca21264
1526294cb0
hex188f6ef8

412053240 has 128 divisors (see below), whose sum is σ = 1283973120. Its totient is φ = 105676800.

The previous prime is 412053233. The next prime is 412053253. The reversal of 412053240 is 42350214.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 955825 + ... + 956255.

It is an arithmetic number, because the mean of its divisors is an integer number (10031040).

Almost surely, 2412053240 is an apocalyptic number.

412053240 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 412053240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641986560).

412053240 is an abundant number, since it is smaller than the sum of its proper divisors (871919880).

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

412053240 is a wasteful number, since it uses less digits than its factorization.

412053240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 412053240 is about 20299.0945610882. The cubic root of 412053240 is about 744.1339364605.

The spelling of 412053240 in words is "four hundred twelve million, fifty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 257 310 372 431 465 514 620 744 771 862 930 1028 1240 1285 1293 1542 1724 1860 2056 2155 2570 2586 3084 3448 3720 3855 4310 5140 5172 6168 6465 7710 7967 8620 10280 10344 12930 13361 15420 15934 17240 23901 25860 26722 30840 31868 39835 40083 47802 51720 53444 63736 66805 79670 80166 95604 106888 110767 119505 133610 159340 160332 191208 200415 221534 239010 267220 318680 320664 332301 400830 443068 478020 534440 553835 664602 801660 886136 956040 1107670 1329204 1603320 1661505 2215340 2658408 3323010 3433777 4430680 6646020 6867554 10301331 13292040 13735108 17168885 20602662 27470216 34337770 41205324 51506655 68675540 82410648 103013310 137351080 206026620 412053240