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414669996 = 2233132631123
BaseRepresentation
bin11000101101110…
…101110010101100
31001220021102022000
4120231311302230
51322123414441
6105051452300
713163431266
oct3055656254
91056242260
10414669996
111a3085784
12b6a57090
1367ba9980
143d102b36
15266102b6
hex18b75cac

414669996 has 96 divisors (see below), whose sum is σ = 1163205120. Its totient is φ = 126992448.

The previous prime is 414669979. The next prime is 414670007. The reversal of 414669996 is 699966414.

414669996 is a `hidden beast` number, since 4 + 1 + 466 + 99 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368691 + ... + 369813.

It is an arithmetic number, because the mean of its divisors is an integer number (12116720).

Almost surely, 2414669996 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 414669996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581602560).

414669996 is an abundant number, since it is smaller than the sum of its proper divisors (748535124).

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

414669996 is a wasteful number, since it uses less digits than its factorization.

414669996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1404 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 414669996 is about 20363.4475470142. The cubic root of 414669996 is about 745.7058283774.

The spelling of 414669996 in words is "four hundred fourteen million, six hundred sixty-nine thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 263 351 468 526 702 789 1052 1123 1404 1578 2246 2367 3156 3369 3419 4492 4734 6738 6838 7101 9468 10107 10257 13476 13676 14202 14599 20214 20514 28404 29198 30321 30771 40428 41028 43797 58396 60642 61542 87594 92313 121284 123084 131391 175188 184626 262782 295349 369252 394173 525564 590698 788346 886047 1181396 1576692 1772094 2658141 3544188 3839537 5316282 7679074 7974423 10632564 11518611 15358148 15948846 23037222 31897692 34555833 46074444 69111666 103667499 138223332 207334998 414669996