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54119220 = 223519291637
BaseRepresentation
bin1100111001110…
…0101100110100
310202211112121120
43032130230310
5102323303340
65211543540
71225001661
oct316345464
9122745546
1054119220
1128604631
121615abb0
13b29b30c
14728aa68
154b404d0
hex339cb34

54119220 has 96 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 13192704.

The previous prime is 54119213. The next prime is 54119227. The reversal of 54119220 is 2291145.

It is an interprime number because it is at equal distance from previous prime (54119213) and next prime (54119227).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54119227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32242 + ... + 33878.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 254119220 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 54119220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

54119220 is an abundant number, since it is smaller than the sum of its proper divisors (110991180).

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

54119220 is a wasteful number, since it uses less digits than its factorization.

54119220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 54119220 is about 7356.5766495021. The cubic root of 54119220 is about 378.2542730817.

The spelling of 54119220 in words is "fifty-four million, one hundred nineteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 29 30 38 57 58 60 76 87 95 114 116 145 174 190 228 285 290 348 380 435 551 570 580 870 1102 1140 1637 1653 1740 2204 2755 3274 3306 4911 5510 6548 6612 8185 8265 9822 11020 16370 16530 19644 24555 31103 32740 33060 47473 49110 62206 93309 94946 98220 124412 142419 155515 186618 189892 237365 284838 311030 373236 466545 474730 569676 622060 712095 901987 933090 949460 1424190 1803974 1866180 2705961 2848380 3607948 4509935 5411922 9019870 10823844 13529805 18039740 27059610 54119220