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20142320 = 2451147487
BaseRepresentation
bin100110011010…
…1100011110000
31101220100001212
41030311203300
520124023240
61555415252
7333130652
oct114654360
941810055
1020142320
1110408250
1268b4528
134233143
1429646d2
151b7d165
hex13358f0

20142320 has 80 divisors (see below), whose sum is σ = 52282368. Its totient is φ = 7153920.

The previous prime is 20142313. The next prime is 20142323. The reversal of 20142320 is 2324102.

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

It is a junction number, because it is equal to n+sod(n) for n = 20142295 and 20142304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20142323) 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, 41117 + ... + 41603.

Almost surely, 220142320 is an apocalyptic number.

20142320 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 20142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26141184).

20142320 is an abundant number, since it is smaller than the sum of its proper divisors (32140048).

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

20142320 is a wasteful number, since it uses less digits than its factorization.

20142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 20142320 is about 4488.0196078003. The cubic root of 20142320 is about 272.0841002917.

Adding to 20142320 its reverse (2324102), we get a palindrome (22466422).

It can be divided in two parts, 2014 and 2320, that added together give a palindrome (4334).

The spelling of 20142320 in words is "twenty million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 110 176 188 220 235 376 440 470 487 517 752 880 940 974 1034 1880 1948 2068 2435 2585 3760 3896 4136 4870 5170 5357 7792 8272 9740 10340 10714 19480 20680 21428 22889 26785 38960 41360 42856 45778 53570 85712 91556 107140 114445 183112 214280 228890 251779 366224 428560 457780 503558 915560 1007116 1258895 1831120 2014232 2517790 4028464 5035580 10071160 20142320