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20055420 = 223257111447
BaseRepresentation
bin100110010000…
…0010101111100
31101201220212100
41030200111330
520113233140
61553505100
7332316420
oct114402574
941656770
1020055420
1110358a30
126872190
134202718
142940b80
151b62530
hex132057c

20055420 has 144 divisors (see below), whose sum is σ = 75898368. Its totient is φ = 4164480.

The previous prime is 20055407. The next prime is 20055433. The reversal of 20055420 is 2455002.

It is an interprime number because it is at equal distance from previous prime (20055407) and next prime (20055433).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20055393 and 20055402.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13137 + ... + 14583.

It is an arithmetic number, because the mean of its divisors is an integer number (527072).

Almost surely, 220055420 is an apocalyptic number.

20055420 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 20055420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37949184).

20055420 is an abundant number, since it is smaller than the sum of its proper divisors (55842948).

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

20055420 is a wasteful number, since it uses less digits than its factorization.

20055420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 20055420 is about 4478.3278129230. The cubic root of 20055420 is about 271.6922521392.

The spelling of 20055420 in words is "twenty million, fifty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1447 1540 1980 2310 2772 2894 3465 4341 4620 5788 6930 7235 8682 10129 13023 13860 14470 15917 17364 20258 21705 26046 28940 30387 31834 40516 43410 47751 50645 52092 60774 63668 65115 79585 86820 91161 95502 101290 111419 121548 130230 143253 151935 159170 182322 191004 202580 222838 238755 260460 286506 303870 318340 334257 364644 445676 455805 477510 557095 573012 607740 668514 716265 911610 955020 1002771 1114190 1337028 1432530 1671285 1823220 2005542 2228380 2865060 3342570 4011084 5013855 6685140 10027710 20055420