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20057544 = 2334132381
BaseRepresentation
bin100110010000…
…0110111001000
31101202000210000
41030200313020
520113320134
61553523000
7332325543
oct114406710
941660700
1020057544
111035a591
126873460
134203690
14294185a
151b62e99
hex1320dc8

20057544 has 80 divisors (see below), whose sum is σ = 60526620. Its totient is φ = 6168960.

The previous prime is 20057539. The next prime is 20057549. The reversal of 20057544 is 44575002.

It is an interprime number because it is at equal distance from previous prime (20057539) and next prime (20057549).

It can be written as a sum of positive squares in 2 ways, for example, as 14152644 + 5904900 = 3762^2 + 2430^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20057549) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7234 + ... + 9614.

Almost surely, 220057544 is an apocalyptic number.

20057544 is a gapful number since it is divisible by the number (24) 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 20057544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30263310).

20057544 is an abundant number, since it is smaller than the sum of its proper divisors (40469076).

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

20057544 is a wasteful number, since it uses less digits than its factorization.

20057544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 20057544 is about 4478.5649487308. The cubic root of 20057544 is about 271.7018431288.

The spelling of 20057544 in words is "twenty million, fifty-seven thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2381 2808 4212 4762 7143 8424 9524 14286 19048 21429 28572 30953 42858 57144 61906 64287 85716 92859 123812 128574 171432 185718 192861 247624 257148 278577 371436 385722 514296 557154 742872 771444 835731 1114308 1542888 1671462 2228616 2507193 3342924 5014386 6685848 10028772 20057544