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20344560 = 2435103823
BaseRepresentation
bin100110110011…
…0111011110000
31102021121111020
41031212323300
520202011220
62004015440
7334632405
oct115467360
942247436
1020344560
1110536195
126991580
1342a4202
1429b82ac
151bbd040
hex1366ef0

20344560 has 80 divisors (see below), whose sum is σ = 63757824. Its totient is φ = 5366016.

The previous prime is 20344559. The next prime is 20344579. The reversal of 20344560 is 6544302.

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

It is a super-2 number, since 2×203445602 = 827802243187200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20344560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24309 + ... + 25131.

Almost surely, 220344560 is an apocalyptic number.

20344560 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 20344560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31878912).

20344560 is an abundant number, since it is smaller than the sum of its proper divisors (43413264).

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

20344560 is a wasteful number, since it uses less digits than its factorization.

20344560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 20344560 is about 4510.4944296607. The cubic root of 20344560 is about 272.9916942555.

Adding to 20344560 its reverse (6544302), we get a palindrome (26888862).

The spelling of 20344560 in words is "twenty million, three hundred forty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 618 823 824 1030 1236 1545 1646 1648 2060 2469 2472 3090 3292 4115 4120 4938 4944 6180 6584 8230 8240 9876 12345 12360 13168 16460 19752 24690 24720 32920 39504 49380 65840 84769 98760 169538 197520 254307 339076 423845 508614 678152 847690 1017228 1271535 1356304 1695380 2034456 2543070 3390760 4068912 5086140 6781520 10172280 20344560