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53514720 = 2532575309
BaseRepresentation
bin1100110000100…
…1000111100000
310201200211101200
43030021013200
5102144432340
65151001200
71216603410
oct314110740
9121624350
1053514720
1128231446
1215b09200
13b11911c
147170640
154a71330
hex33091e0

53514720 has 144 divisors (see below), whose sum is σ = 208746720. Its totient is φ = 12229632.

The previous prime is 53514719. The next prime is 53514731. The reversal of 53514720 is 2741535.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7426 + ... + 12734.

It is an arithmetic number, because the mean of its divisors is an integer number (1449630).

Almost surely, 253514720 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 53514720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104373360).

53514720 is an abundant number, since it is smaller than the sum of its proper divisors (155232000).

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

53514720 is a wasteful number, since it uses less digits than its factorization.

53514720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5337 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 53514720 is about 7315.3755884438. The cubic root of 53514720 is about 376.8406571678.

The spelling of 53514720 in words is "fifty-three million, five hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 5309 10080 10618 15927 21236 26545 31854 37163 42472 47781 53090 63708 74326 79635 84944 95562 106180 111489 127416 148652 159270 169888 185815 191124 212360 222978 238905 254832 297304 318540 334467 371630 382248 424720 445956 477810 509664 557445 594608 637080 668934 743260 764496 849440 891912 955620 1114890 1189216 1274160 1337868 1486520 1528992 1672335 1783824 1911240 2229780 2548320 2675736 2973040 3344670 3567648 3822480 4459560 5351472 5946080 6689340 7644960 8919120 10702944 13378680 17838240 26757360 53514720