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405231240 = 233519891997
BaseRepresentation
bin11000001001110…
…101011010001000
31001020111212202110
4120021311122020
51312214344430
6104113302320
713020260121
oct3011653210
91036455673
10405231240
11198819257
12b38649a0
1365c536cb
143bb67048
15258987b0
hex18275688

405231240 has 128 divisors (see below), whose sum is σ = 1294704000. Its totient is φ = 101173248.

The previous prime is 405231191. The next prime is 405231247. The reversal of 405231240 is 42132504.

It is not an unprimeable number, because it can be changed into a prime (405231247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201922 + ... + 203918.

It is an arithmetic number, because the mean of its divisors is an integer number (10114875).

Almost surely, 2405231240 is an apocalyptic number.

405231240 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 405231240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647352000).

405231240 is an abundant number, since it is smaller than the sum of its proper divisors (889472760).

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

405231240 is a wasteful number, since it uses less digits than its factorization.

405231240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2115 counting only the distinct ones).

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

The square root of 405231240 is about 20130.3561816477. The cubic root of 405231240 is about 740.0044070836.

Adding to 405231240 its reverse (42132504), we get a palindrome (447363744).

The spelling of 405231240 in words is "four hundred five million, two hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 89 95 114 120 152 178 190 228 267 285 356 380 445 456 534 570 712 760 890 1068 1140 1335 1691 1780 1997 2136 2280 2670 3382 3560 3994 5073 5340 5991 6764 7988 8455 9985 10146 10680 11982 13528 15976 16910 19970 20292 23964 25365 29955 33820 37943 39940 40584 47928 50730 59910 67640 75886 79880 101460 113829 119820 151772 177733 189715 202920 227658 239640 303544 355466 379430 455316 533199 569145 710932 758860 888665 910632 1066398 1138290 1421864 1517720 1777330 2132796 2276580 2665995 3376927 3554660 4265592 4553160 5331990 6753854 7109320 10130781 10663980 13507708 16884635 20261562 21327960 27015416 33769270 40523124 50653905 67538540 81046248 101307810 135077080 202615620 405231240