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20520690 = 23529103229
BaseRepresentation
bin100111001000…
…1111011110010
31102121120002120
41032101323302
520223130230
62011455110
7336265041
oct116217362
942546076
1020520690
1110646553
126a57496
134336428
142a22558
151c05310
hex1391ef2

20520690 has 64 divisors (see below), whose sum is σ = 51667200. Its totient is φ = 5209344.

The previous prime is 20520677. The next prime is 20520691. The reversal of 20520690 is 9602502.

It is a super-2 number, since 2×205206902 = 842197436152200, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20520690.

It is not an unprimeable number, because it can be changed into a prime (20520691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89496 + ... + 89724.

It is an arithmetic number, because the mean of its divisors is an integer number (807300).

Almost surely, 220520690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20520690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25833600).

20520690 is an abundant number, since it is smaller than the sum of its proper divisors (31146510).

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

20520690 is a wasteful number, since it uses less digits than its factorization.

20520690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 20520690 is about 4529.9768211328. The cubic root of 20520690 is about 273.7772267076. Note that the first 3 decimals are identical.

It can be divided in two parts, 20 and 520690, that added together give a triangular number (520710 = T1020).

The spelling of 20520690 in words is "twenty million, five hundred twenty thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 103 145 174 206 229 290 309 435 458 515 618 687 870 1030 1145 1374 1545 2290 2987 3090 3435 5974 6641 6870 8961 13282 14935 17922 19923 23587 29870 33205 39846 44805 47174 66410 70761 89610 99615 117935 141522 199230 235870 353805 684023 707610 1368046 2052069 3420115 4104138 6840230 10260345 20520690