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206980440 = 233517241421
BaseRepresentation
bin11000101011001…
…00010101011000
3112102110200210020
430111210111120
5410441333230
632312150440
75062206342
oct1425442530
9472420706
10206980440
11a6920517
1259398420
1333b5c644
141d6bc292
1513287810
hexc564558

206980440 has 128 divisors (see below), whose sum is σ = 661763520. Its totient is φ = 51609600.

The previous prime is 206980439. The next prime is 206980451. The reversal of 206980440 is 44089602.

It is a congruent number.

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, 491430 + ... + 491850.

Almost surely, 2206980440 is an apocalyptic number.

206980440 is a gapful number since it is divisible by the number (20) 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 206980440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330881760).

206980440 is an abundant number, since it is smaller than the sum of its proper divisors (454783080).

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

206980440 is a wasteful number, since it uses less digits than its factorization.

206980440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 206980440 is about 14386.8147968895. The cubic root of 206980440 is about 591.5295370447.

The spelling of 206980440 in words is "two hundred six million, nine hundred eighty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 241 255 340 408 421 482 510 680 723 842 964 1020 1205 1263 1446 1684 1928 2040 2105 2410 2526 2892 3368 3615 4097 4210 4820 5052 5784 6315 7157 7230 8194 8420 9640 10104 12291 12630 14314 14460 16388 16840 20485 21471 24582 25260 28628 28920 32776 35785 40970 42942 49164 50520 57256 61455 71570 81940 85884 98328 101461 107355 122910 143140 163880 171768 202922 214710 245820 286280 304383 405844 429420 491640 507305 608766 811688 858840 1014610 1217532 1521915 1724837 2029220 2435064 3043830 3449674 4058440 5174511 6087660 6899348 8624185 10349022 12175320 13798696 17248370 20698044 25872555 34496740 41396088 51745110 68993480 103490220 206980440