Search a number
-
+
20469840 = 243519672
BaseRepresentation
bin100111000010…
…1100001010000
31102111222100020
41032011201100
520220013330
62010423440
7335663556
oct116054120
942458306
1020469840
1110611326
126a31b80
134319241
142a0bbd6
151be5210
hex1385850

20469840 has 120 divisors (see below), whose sum is σ = 67808160. Its totient is φ = 5094144.

The previous prime is 20469829. The next prime is 20469851. The reversal of 20469840 is 4896402.

It is an interprime number because it is at equal distance from previous prime (20469829) and next prime (20469851).

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 305487 + ... + 305553.

It is an arithmetic number, because the mean of its divisors is an integer number (565068).

Almost surely, 220469840 is an apocalyptic number.

20469840 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 20469840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33904080).

20469840 is an abundant number, since it is smaller than the sum of its proper divisors (47338320).

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

20469840 is a wasteful number, since it uses less digits than its factorization.

20469840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 96 counting only the distinct ones).

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

The square root of 20469840 is about 4524.3607283239. The cubic root of 20469840 is about 273.5509008710.

The spelling of 20469840 in words is "twenty million, four hundred sixty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 67 76 80 95 114 120 134 152 190 201 228 240 268 285 304 335 380 402 456 536 570 670 760 804 912 1005 1072 1140 1273 1340 1520 1608 2010 2280 2546 2680 3216 3819 4020 4489 4560 5092 5360 6365 7638 8040 8978 10184 12730 13467 15276 16080 17956 19095 20368 22445 25460 26934 30552 35912 38190 44890 50920 53868 61104 67335 71824 76380 85291 89780 101840 107736 134670 152760 170582 179560 215472 255873 269340 305520 341164 359120 426455 511746 538680 682328 852910 1023492 1077360 1279365 1364656 1705820 2046984 2558730 3411640 4093968 5117460 6823280 10234920 20469840