Search a number
-
+
55134960 = 243519107113
BaseRepresentation
bin1101001001010…
…0101011110000
310211202010221120
43102110223300
5103103304320
65245422240
71236432216
oct322245360
9124663846
1055134960
1129138791
121656a980
13b56574a
147472cb6
154c91440
hex3494af0

55134960 has 160 divisors (see below), whose sum is σ = 183202560. Its totient is φ = 13676544.

The previous prime is 55134943. The next prime is 55134967. The reversal of 55134960 is 6943155.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55134967) 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, 487864 + ... + 487976.

It is an arithmetic number, because the mean of its divisors is an integer number (1145016).

Almost surely, 255134960 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 55134960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91601280).

55134960 is an abundant number, since it is smaller than the sum of its proper divisors (128067600).

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

55134960 is a wasteful number, since it uses less digits than its factorization.

55134960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 55134960 is about 7425.2919134536. The cubic root of 55134960 is about 380.6060504585.

It can be divided in two parts, 551 and 34960, that added together give a triangular number (35511 = T266).

The spelling of 55134960 in words is "fifty-five million, one hundred thirty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 107 113 114 120 152 190 214 226 228 240 285 304 321 339 380 428 452 456 535 565 570 642 678 760 856 904 912 1070 1130 1140 1284 1356 1520 1605 1695 1712 1808 2033 2140 2147 2260 2280 2568 2712 3210 3390 4066 4280 4294 4520 4560 5136 5424 6099 6420 6441 6780 8132 8560 8588 9040 10165 10735 12091 12198 12840 12882 13560 16264 17176 20330 21470 24182 24396 25680 25764 27120 30495 32205 32528 34352 36273 40660 42940 48364 48792 51528 60455 60990 64410 72546 81320 85880 96728 97584 103056 120910 121980 128820 145092 162640 171760 181365 193456 229729 241820 243960 257640 290184 362730 459458 483640 487920 515280 580368 689187 725460 918916 967280 1148645 1378374 1450920 1837832 2297290 2756748 2901840 3445935 3675664 4594580 5513496 6891870 9189160 11026992 13783740 18378320 27567480 55134960