Search a number
-
+
20322960 = 2435712097
BaseRepresentation
bin100110110000…
…1101010010000
31102020111212020
41031201222100
520200313320
62003331440
7334512420
oct115415220
942214766
1020322960
1110520a39
126980b80
134297428
1429b0480
151bb6940
hex1361a90

20322960 has 80 divisors (see below), whose sum is σ = 72007296. Its totient is φ = 4644864.

The previous prime is 20322919. The next prime is 20322971. The reversal of 20322960 is 6922302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20322960.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4369 + ... + 7728.

Almost surely, 220322960 is an apocalyptic number.

20322960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20322960 is an abundant number, since it is smaller than the sum of its proper divisors (51684336).

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

20322960 is a wasteful number, since it uses less digits than its factorization.

20322960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12120 (or 12114 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 20322960 is about 4508.0993777866. The cubic root of 20322960 is about 272.8950474752.

The spelling of 20322960 in words is "twenty million, three hundred twenty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 12097 24194 36291 48388 60485 72582 84679 96776 120970 145164 169358 181455 193552 241940 254037 290328 338716 362910 423395 483880 508074 580656 677432 725820 846790 967760 1016148 1270185 1354864 1451640 1693580 2032296 2540370 2903280 3387160 4064592 5080740 6774320 10161480 20322960