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20692320 = 2535113919
BaseRepresentation
bin100111011101…
…1110101100000
31102221021112020
41032323311200
520244123240
62015301440
7340611315
oct116736540
942837466
1020692320
11107534a0
126b1a880
13439659c
142a68d0c
151c3b0d0
hex13bbd60

20692320 has 96 divisors (see below), whose sum is σ = 71124480. Its totient is φ = 5015040.

The previous prime is 20692319. The next prime is 20692327. The reversal of 20692320 is 2329602.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20692327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3321 + ... + 7239.

It is an arithmetic number, because the mean of its divisors is an integer number (740880).

Almost surely, 220692320 is an apocalyptic number.

20692320 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 20692320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35562240).

20692320 is an abundant number, since it is smaller than the sum of its proper divisors (50432160).

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

20692320 is a wasteful number, since it uses less digits than its factorization.

20692320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948 (or 3940 counting only the distinct ones).

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

The square root of 20692320 is about 4548.8811811258. The cubic root of 20692320 is about 274.5383770551.

It can be divided in two parts, 20692 and 320, that added together give a palindrome (21012).

The spelling of 20692320 in words is "twenty million, six hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 3919 5280 7838 11757 15676 19595 23514 31352 39190 43109 47028 58785 62704 78380 86218 94056 117570 125408 129327 156760 172436 188112 215545 235140 258654 313520 344872 376224 431090 470280 517308 627040 646635 689744 862180 940560 1034616 1293270 1379488 1724360 1881120 2069232 2586540 3448720 4138464 5173080 6897440 10346160 20692320