Search a number
-
+
54101880 = 23325723067
BaseRepresentation
bin1100111001100…
…0011101111000
310202210122211100
43032120131320
5102322230010
65211331400
71224600300
oct316303570
9122718740
1054101880
11285a25a8
1216150b60
13b293461
147284600
154b3a2c0
hex3398778

54101880 has 144 divisors (see below), whose sum is σ = 204604920. Its totient is φ = 12362112.

The previous prime is 54101867. The next prime is 54101891. The reversal of 54101880 is 8810145.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16107 + ... + 19173.

Almost surely, 254101880 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 54101880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102302460).

54101880 is an abundant number, since it is smaller than the sum of its proper divisors (150503040).

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

54101880 is a wasteful number, since it uses less digits than its factorization.

54101880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 54101880 is about 7355.3980177826. The cubic root of 54101880 is about 378.2138707396.

The spelling of 54101880 in words is "fifty-four million, one hundred one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3067 3528 4410 5880 6134 8820 9201 12268 15335 17640 18402 21469 24536 27603 30670 36804 42938 46005 55206 61340 64407 73608 85876 92010 107345 110412 122680 128814 138015 150283 171752 184020 193221 214690 220824 257628 276030 300566 322035 368040 386442 429380 450849 515256 552060 601132 644070 751415 772884 858760 901698 966105 1104120 1202264 1288140 1352547 1502830 1545768 1803396 1932210 2254245 2576280 2705094 3005660 3606792 3864420 4508490 5410188 6011320 6762735 7728840 9016980 10820376 13525470 18033960 27050940 54101880