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54673640 = 23571943239
BaseRepresentation
bin1101000010010…
…0000011101000
310210212201010122
43100210003220
5102444024030
65231502412
71232501240
oct320440350
9123781118
1054673640
112895312a
1216387a08
13b433788
147392b20
154bee8e5
hex34240e8

54673640 has 128 divisors (see below), whose sum is σ = 152064000. Its totient is φ = 17273088.

The previous prime is 54673603. The next prime is 54673673. The reversal of 54673640 is 4637645.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 54673640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228641 + ... + 228879.

It is an arithmetic number, because the mean of its divisors is an integer number (1188000).

Almost surely, 254673640 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 54673640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76032000).

54673640 is an abundant number, since it is smaller than the sum of its proper divisors (97390360).

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

54673640 is a wasteful number, since it uses less digits than its factorization.

54673640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 54673640 is about 7394.1625624542. The cubic root of 54673640 is about 379.5415523956.

The spelling of 54673640 in words is "fifty-four million, six hundred seventy-three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 43 56 70 76 86 95 133 140 152 172 190 215 239 266 280 301 344 380 430 478 532 602 665 760 817 860 956 1064 1195 1204 1330 1505 1634 1673 1720 1912 2390 2408 2660 3010 3268 3346 4085 4541 4780 5320 5719 6020 6536 6692 8170 8365 9082 9560 10277 11438 12040 13384 16340 16730 18164 20554 22705 22876 28595 31787 32680 33460 36328 41108 45410 45752 51385 57190 63574 66920 71939 82216 90820 102770 114380 127148 143878 158935 181640 195263 205540 228760 254296 287756 317870 359695 390526 411080 575512 635740 719390 781052 976315 1271480 1366841 1438780 1562104 1952630 2733682 2877560 3905260 5467364 6834205 7810520 10934728 13668410 27336820 54673640