Search a number
-
+
406547064 = 233271173331
BaseRepresentation
bin11000001110110…
…110101001111000
31001022222201201200
4120032312221320
51313034001224
6104201414200
713034410260
oct3016665170
91038881650
10406547064
11199537910
12b419a360
13662c45c1
143bdca7a0
1525a585c9
hex183b6a78

406547064 has 96 divisors (see below), whose sum is σ = 1372775040. Its totient is φ = 105595200.

The previous prime is 406547041. The next prime is 406547087. The reversal of 406547064 is 460745604.

It is an interprime number because it is at equal distance from previous prime (406547041) and next prime (406547087).

It is a super-3 number, since 3×4065470643 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31122 + ... + 42209.

It is an arithmetic number, because the mean of its divisors is an integer number (14299740).

Almost surely, 2406547064 is an apocalyptic number.

406547064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

406547064 is an abundant number, since it is smaller than the sum of its proper divisors (966227976).

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

406547064 is a wasteful number, since it uses less digits than its factorization.

406547064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73361 (or 73354 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 406547064 is about 20163.0122749553. The cubic root of 406547064 is about 740.8044963862.

The spelling of 406547064 in words is "four hundred six million, five hundred forty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 73331 146662 219993 293324 439986 513317 586648 659979 806641 879972 1026634 1319958 1539951 1613282 1759944 2053268 2419923 2639916 3079902 3226564 4106536 4619853 4839846 5279832 5646487 6159804 6453128 7259769 9239706 9679692 11292974 12319608 14519538 16939461 18479412 19359384 22585948 29039076 33878922 36958824 45171896 50818383 58078152 67757844 101636766 135515688 203273532 406547064