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412023040 = 28511132251
BaseRepresentation
bin11000100011101…
…111100100000000
31001201021221100121
4120203233210000
51320434214130
6104515030024
713132065232
oct3043574400
91051257317
10412023040
111a1638010
12b5b9b314
1367490c20
143ca14252
152628ad7a
hex188ef900

412023040 has 144 divisors (see below), whose sum is σ = 1159978176. Its totient is φ = 138240000.

The previous prime is 412022993. The next prime is 412023041. The reversal of 412023040 is 40320214.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (412023041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181915 + ... + 184165.

It is an arithmetic number, because the mean of its divisors is an integer number (8055404).

Almost surely, 2412023040 is an apocalyptic number.

412023040 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 412023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579989088).

412023040 is an abundant number, since it is smaller than the sum of its proper divisors (747955136).

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

412023040 is a wasteful number, since it uses less digits than its factorization.

412023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 412023040 is about 20298.3506719142. The cubic root of 412023040 is about 744.1157564522.

Adding to 412023040 its reverse (40320214), we get a palindrome (452343254).

The spelling of 412023040 in words is "four hundred twelve million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 143 160 176 208 220 256 260 286 320 352 416 440 520 572 640 704 715 832 880 1040 1144 1280 1408 1430 1664 1760 2080 2251 2288 2816 2860 3328 3520 4160 4502 4576 5720 7040 8320 9004 9152 11255 11440 14080 16640 18008 18304 22510 22880 24761 29263 36016 36608 45020 45760 49522 58526 72032 90040 91520 99044 117052 123805 144064 146315 180080 183040 198088 234104 247610 288128 292630 321893 360160 396176 468208 495220 576256 585260 643786 720320 792352 936416 990440 1170520 1287572 1440640 1584704 1609465 1872832 1980880 2341040 2575144 2881280 3169408 3218930 3745664 3961760 4682080 5150288 6338816 6437860 7491328 7923520 9364160 10300576 12875720 15847040 18728320 20601152 25751440 31694080 37456640 41202304 51502880 82404608 103005760 206011520 412023040