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20307520 = 265173733
BaseRepresentation
bin100110101110…
…1111001000000
31102012201200101
41031131321000
520144320040
62003132144
7334416412
oct115357100
942181611
1020307520
1110510382
126974054
1342903ac
1429a89b2
151bb209a
hex135de40

20307520 has 56 divisors (see below), whose sum is σ = 51215544. Its totient is φ = 7643136.

The previous prime is 20307509. The next prime is 20307541. The reversal of 20307520 is 2570302.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4562496 + 15745024 = 2136^2 + 3968^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3574 + ... + 7306.

Almost surely, 220307520 is an apocalyptic number.

20307520 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 20307520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25607772).

20307520 is an abundant number, since it is smaller than the sum of its proper divisors (30908024).

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

20307520 is a wasteful number, since it uses less digits than its factorization.

20307520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3767 (or 3757 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 20307520 is about 4506.3865790675. The cubic root of 20307520 is about 272.8259209466.

Adding to 20307520 its reverse (2570302), we get a palindrome (22877822).

It can be divided in two parts, 20 and 307520, that multiplied together give a square (6150400 = 24802).

The spelling of 20307520 in words is "twenty million, three hundred seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 3733 5440 7466 14932 18665 29864 37330 59728 63461 74660 119456 126922 149320 238912 253844 298640 317305 507688 597280 634610 1015376 1194560 1269220 2030752 2538440 4061504 5076880 10153760 20307520