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20092520 = 235773983
BaseRepresentation
bin100110010100…
…1011001101000
31101210210202102
41030221121220
520120430040
61554352532
7332532530
oct114513150
941723672
1020092520
1110383898
12688b748
134216586
1429504c0
151b6d515
hex1329668

20092520 has 64 divisors (see below), whose sum is σ = 52427520. Its totient is φ = 6787584.

The previous prime is 20092507. The next prime is 20092529. The reversal of 20092520 is 2529002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20092492 and 20092501.

It is not an unprimeable number, because it can be changed into a prime (20092529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19949 + ... + 20931.

It is an arithmetic number, because the mean of its divisors is an integer number (819180).

Almost surely, 220092520 is an apocalyptic number.

20092520 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 20092520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26213760).

20092520 is an abundant number, since it is smaller than the sum of its proper divisors (32335000).

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

20092520 is a wasteful number, since it uses less digits than its factorization.

20092520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 20092520 is about 4482.4680701596. The cubic root of 20092520 is about 271.8596810852.

The spelling of 20092520 in words is "twenty million, ninety-two thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 140 146 280 292 365 511 584 730 983 1022 1460 1966 2044 2555 2920 3932 4088 4915 5110 6881 7864 9830 10220 13762 19660 20440 27524 34405 39320 55048 68810 71759 137620 143518 275240 287036 358795 502313 574072 717590 1004626 1435180 2009252 2511565 2870360 4018504 5023130 10046260 20092520