Search a number
-
+
414060045 = 3572613919
BaseRepresentation
bin11000101011100…
…000111000001101
31001212010102121020
4120223200320031
51321444410140
6105030424353
713155311100
oct3053407015
91055112536
10414060045
111a27a9493
12b68020b9
1367a25159
143cdc4737
152653e6d0
hex18ae0e0d

414060045 has 48 divisors (see below), whose sum is σ = 772755840. Its totient is φ = 188770176.

The previous prime is 414060037. The next prime is 414060121. The reversal of 414060045 is 540060414.

It is not a de Polignac number, because 414060045 - 23 = 414060037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414059997 and 414060024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450096 + ... + 451014.

It is an arithmetic number, because the mean of its divisors is an integer number (16099080).

Almost surely, 2414060045 is an apocalyptic number.

It is an amenable number.

414060045 is a deficient number, since it is larger than the sum of its proper divisors (358695795).

414060045 is a wasteful number, since it uses less digits than its factorization.

414060045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 414060045 is about 20348.4654212547. The cubic root of 414060045 is about 745.3400216577.

The spelling of 414060045 in words is "four hundred fourteen million, sixty thousand, forty-five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 613 735 919 1839 2757 3065 4291 4595 6433 9195 12873 13785 19299 21455 30037 32165 45031 64365 90111 96495 135093 150185 225155 450555 563347 675465 1690041 2816735 3943429 8450205 11830287 19717145 27604003 59151435 82812009 138020015 414060045