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54089420 = 225711231103
BaseRepresentation
bin1100111001010…
…1011011001100
310202210000201212
43032111123030
5102321330140
65211153552
71224516050
oct316253314
9122700655
1054089420
1128594200
12161458b8
13b28a898
14727dc60
154b36765
hex33956cc

54089420 has 144 divisors (see below), whose sum is σ = 148721664. Its totient is φ = 16156800.

The previous prime is 54089419. The next prime is 54089429. The reversal of 54089420 is 2498045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54089429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 525089 + ... + 525191.

Almost surely, 254089420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54089420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74360832).

54089420 is an abundant number, since it is smaller than the sum of its proper divisors (94632244).

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

54089420 is a wasteful number, since it uses less digits than its factorization.

54089420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 54089420 is about 7354.5509720173. The cubic root of 54089420 is about 378.1848335068.

The spelling of 54089420 in words is "fifty-four million, eighty-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 31 35 44 55 62 70 77 103 110 121 124 140 154 155 206 217 220 242 308 310 341 385 412 434 484 515 605 620 682 721 770 847 868 1030 1085 1133 1210 1364 1442 1540 1694 1705 2060 2170 2266 2387 2420 2884 3193 3388 3410 3605 3751 4235 4340 4532 4774 5665 6386 6820 7210 7502 7931 8470 9548 11330 11935 12463 12772 14420 15004 15862 15965 16940 18755 22351 22660 23870 24926 26257 31724 31930 35123 37510 39655 44702 47740 49852 52514 62315 63860 70246 75020 79310 87241 89404 105028 111755 124630 131285 140492 158620 174482 175615 223510 245861 249260 262570 348964 351230 386353 436205 447020 491722 525140 702460 772706 872410 983444 1229305 1545412 1744820 1931765 2458610 2704471 3863530 4917220 5408942 7727060 10817884 13522355 27044710 54089420