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54430740 = 223257133323
BaseRepresentation
bin1100111110100…
…0110000010100
310210102100221100
43033220300110
5102413240430
65222350100
71230440130
oct317506024
9123370840
1054430740
11287a7691
121628b330
13b37a050
14732c3c0
154ba2960
hex33e8c14

54430740 has 144 divisors (see below), whose sum is σ = 203269248. Its totient is φ = 11480832.

The previous prime is 54430723. The next prime is 54430757. The reversal of 54430740 is 4703445.

It is an interprime number because it is at equal distance from previous prime (54430723) and next prime (54430757).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14719 + ... + 18041.

It is an arithmetic number, because the mean of its divisors is an integer number (1411592).

Almost surely, 254430740 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 54430740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101634624).

54430740 is an abundant number, since it is smaller than the sum of its proper divisors (148838508).

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

54430740 is a wasteful number, since it uses less digits than its factorization.

54430740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 54430740 is about 7377.7191597404. The cubic root of 54430740 is about 378.9786515963.

The spelling of 54430740 in words is "fifty-four million, four hundred thirty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 3323 4095 5460 6646 8190 9969 13292 16380 16615 19938 23261 29907 33230 39876 43199 46522 49845 59814 66460 69783 86398 93044 99690 116305 119628 129597 139566 149535 172796 199380 209349 215995 232610 259194 279132 299070 302393 348915 388791 418698 431990 465220 518388 598140 604786 647985 697830 777582 837396 863980 907179 1046745 1209572 1295970 1395660 1511965 1555164 1814358 1943955 2093490 2591940 2721537 3023930 3628716 3887910 4186980 4535895 5443074 6047860 7775820 9071790 10886148 13607685 18143580 27215370 54430740