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53123280 = 24357103307
BaseRepresentation
bin1100101010100…
…1100011010000
310200221221102220
43022221203100
5102044421110
65134341040
71213353240
oct312514320
9120857386
1053123280
1127a94341
121595a780
13b00cbc2
1470abb20
1549e5370
hex32a98d0

53123280 has 160 divisors (see below), whose sum is σ = 190654464. Its totient is φ = 11985408.

The previous prime is 53123269. The next prime is 53123281. The reversal of 53123280 is 8232135.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 53123280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53123281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172887 + ... + 173193.

Almost surely, 253123280 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 53123280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95327232).

53123280 is an abundant number, since it is smaller than the sum of its proper divisors (137531184).

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

53123280 is a wasteful number, since it uses less digits than its factorization.

53123280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 53123280 is about 7288.5718765750. The cubic root of 53123280 is about 375.9195919805.

The spelling of 53123280 in words is "fifty-three million, one hundred twenty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 103 105 112 120 140 168 206 210 240 280 307 309 336 412 420 515 560 614 618 721 824 840 921 1030 1228 1236 1442 1535 1545 1648 1680 1842 2060 2149 2163 2456 2472 2884 3070 3090 3605 3684 4120 4298 4326 4605 4912 4944 5768 6140 6180 6447 7210 7368 8240 8596 8652 9210 10745 10815 11536 12280 12360 12894 14420 14736 17192 17304 18420 21490 21630 24560 24720 25788 28840 31621 32235 34384 34608 36840 42980 43260 51576 57680 63242 64470 73680 85960 86520 94863 103152 126484 128940 158105 171920 173040 189726 221347 252968 257880 316210 379452 442694 474315 505936 515760 632420 664041 758904 885388 948630 1106735 1264840 1328082 1517808 1770776 1897260 2213470 2529680 2656164 3320205 3541552 3794520 4426940 5312328 6640410 7589040 8853880 10624656 13280820 17707760 26561640 53123280