Search a number
-
+
20356980 = 22357192551
BaseRepresentation
bin100110110100…
…1111101110100
31102022020112020
41031221331310
520202410410
62004153140
7335013540
oct115517564
942266466
1020356980
1110544556
1269987b0
1342a9a67
1429bca20
151bc1a70
hex1369f74

20356980 has 96 divisors (see below), whose sum is σ = 68597760. Its totient is φ = 4406400.

The previous prime is 20356979. The next prime is 20356991. The reversal of 20356980 is 8965302.

It is a happy number.

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, 6705 + ... + 9255.

It is an arithmetic number, because the mean of its divisors is an integer number (714560).

Almost surely, 220356980 is an apocalyptic number.

20356980 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 20356980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34298880).

20356980 is an abundant number, since it is smaller than the sum of its proper divisors (48240780).

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

20356980 is a wasteful number, since it uses less digits than its factorization.

20356980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 20356980 is about 4511.8710087945. The cubic root of 20356980 is about 273.0472351817.

The spelling of 20356980 in words is "twenty million, three hundred fifty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1140 1330 1596 1995 2551 2660 3990 5102 7653 7980 10204 12755 15306 17857 25510 30612 35714 38265 48469 51020 53571 71428 76530 89285 96938 107142 145407 153060 178570 193876 214284 242345 267855 290814 339283 357140 484690 535710 581628 678566 727035 969380 1017849 1071420 1357132 1454070 1696415 2035698 2908140 3392830 4071396 5089245 6785660 10178490 20356980