Search a number
-
+
54192420 = 223253779103
BaseRepresentation
bin1100111010111…
…0100100100100
310202222021000200
43032232210210
5102333124140
65213310500
71225425252
oct316564444
9122867020
1054192420
1128654627
1216195430
13b2c5729
1472a95d2
154b57030
hex33ae924

54192420 has 144 divisors (see below), whose sum is σ = 172623360. Its totient is φ = 13747968.

The previous prime is 54192419. The next prime is 54192421. The reversal of 54192420 is 2429145.

54192420 is a `hidden beast` number, since 5 + 419 + 242 + 0 = 666.

54192420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54192419) and next prime (54192421).

It is not an unprimeable number, because it can be changed into a prime (54192421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 526089 + ... + 526191.

Almost surely, 254192420 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 54192420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86311680).

54192420 is an abundant number, since it is smaller than the sum of its proper divisors (118430940).

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

54192420 is a wasteful number, since it uses less digits than its factorization.

54192420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 54192420 is about 7361.5501085030. The cubic root of 54192420 is about 378.4247346340.

The spelling of 54192420 in words is "fifty-four million, one hundred ninety-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 79 90 103 111 148 158 180 185 206 222 237 309 316 333 370 395 412 444 474 515 555 618 666 711 740 790 927 948 1030 1110 1185 1236 1332 1422 1545 1580 1665 1854 2060 2220 2370 2844 2923 3090 3330 3555 3708 3811 4635 4740 5846 6180 6660 7110 7622 8137 8769 9270 11433 11692 14220 14615 15244 16274 17538 18540 19055 22866 24411 26307 29230 32548 34299 35076 38110 40685 43845 45732 48822 52614 57165 58460 68598 73233 76220 81370 87690 97644 105228 114330 122055 131535 137196 146466 162740 171495 175380 228660 244110 263070 292932 301069 342990 366165 488220 526140 602138 685980 732330 903207 1204276 1464660 1505345 1806414 2709621 3010690 3612828 4516035 5419242 6021380 9032070 10838484 13548105 18064140 27096210 54192420