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20693520 = 2432541701
BaseRepresentation
bin100111011110…
…0001000010000
31102221100011200
41032330020100
520244143040
62015311200
7340614651
oct116741020
942840150
1020693520
1110754391
126b1b500
134396cb3
142a69528
151c3b630
hex13bc210

20693520 has 120 divisors (see below), whose sum is σ = 71292312. Its totient is φ = 5376000.

The previous prime is 20693509. The next prime is 20693551. The reversal of 20693520 is 2539602.

It can be written as a sum of positive squares in 4 ways, for example, as 1192464 + 19501056 = 1092^2 + 4416^2 .

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

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, 29170 + ... + 29870.

Almost surely, 220693520 is an apocalyptic number.

20693520 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 20693520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35646156).

20693520 is an abundant number, since it is smaller than the sum of its proper divisors (50598792).

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

20693520 is a wasteful number, since it uses less digits than its factorization.

20693520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 20693520 is about 4549.0130797790. The cubic root of 20693520 is about 274.5436840109.

The spelling of 20693520 in words is "twenty million, six hundred ninety-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 144 164 180 205 240 246 328 360 369 410 492 615 656 701 720 738 820 984 1230 1402 1476 1640 1845 1968 2103 2460 2804 2952 3280 3505 3690 4206 4920 5608 5904 6309 7010 7380 8412 9840 10515 11216 12618 14020 14760 16824 21030 25236 28040 28741 29520 31545 33648 42060 50472 56080 57482 63090 84120 86223 100944 114964 126180 143705 168240 172446 229928 252360 258669 287410 344892 431115 459856 504720 517338 574820 689784 862230 1034676 1149640 1293345 1379568 1724460 2069352 2299280 2586690 3448920 4138704 5173380 6897840 10346760 20693520