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420040260 = 2232523711429
BaseRepresentation
bin11001000010010…
…100111001000100
31002021101020220200
4121002110321010
51330012242020
6105402530500
713260166113
oct3102247104
91067336820
10420040260
111a6113512
12b8806a30
136903a143
143daddc7a
1526d21590
hex19094e44

420040260 has 144 divisors (see below), whose sum is σ = 1349187840. Its totient is φ = 105557760.

The previous prime is 420040241. The next prime is 420040261. The reversal of 420040260 is 62040024.

420040260 is a `hidden beast` number, since 4 + 200 + 402 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (420040261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293226 + ... + 294654.

It is an arithmetic number, because the mean of its divisors is an integer number (9369360).

Almost surely, 2420040260 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 420040260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674593920).

420040260 is an abundant number, since it is smaller than the sum of its proper divisors (929147580).

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

420040260 is a wasteful number, since it uses less digits than its factorization.

420040260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 420040260 is about 20494.8837518050. The cubic root of 420040260 is about 748.9111666877.

Adding to 420040260 its reverse (62040024), we get a palindrome (482080284).

The spelling of 420040260 in words is "four hundred twenty million, forty thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 71 90 92 115 138 142 180 207 213 230 276 284 345 355 414 426 460 639 690 710 828 852 1035 1065 1278 1380 1420 1429 1633 2070 2130 2556 2858 3195 3266 4140 4260 4287 4899 5716 6390 6532 7145 8165 8574 9798 12780 12861 14290 14697 16330 17148 19596 21435 24495 25722 28580 29394 32660 32867 42870 48990 51444 58788 64305 65734 73485 85740 97980 98601 101459 128610 131468 146970 164335 197202 202918 257220 293940 295803 304377 328670 394404 405836 493005 507295 591606 608754 657340 913131 986010 1014590 1183212 1217508 1479015 1521885 1826262 1972020 2029180 2333557 2958030 3043770 3652524 4565655 4667114 5916060 6087540 7000671 9131310 9334228 11667785 14001342 18262620 21002013 23335570 28002684 35003355 42004026 46671140 70006710 84008052 105010065 140013420 210020130 420040260