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53107920 = 24335231069
BaseRepresentation
bin1100101010010…
…1110011010000
310200221011101000
43022211303100
5102043423140
65134142000
71213260405
oct312456320
9120834330
1053107920
1127a83848
1215951900
13b005c08
1470a62ac
1549e0a30
hex32a5cd0

53107920 has 160 divisors (see below), whose sum is σ = 191059200. Its totient is φ = 13533696.

The previous prime is 53107891. The next prime is 53107927. The reversal of 53107920 is 2970135.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53107927) 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, 49146 + ... + 50214.

It is an arithmetic number, because the mean of its divisors is an integer number (1194120).

Almost surely, 253107920 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 53107920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95529600).

53107920 is an abundant number, since it is smaller than the sum of its proper divisors (137951280).

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

53107920 is a wasteful number, since it uses less digits than its factorization.

53107920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 53107920 is about 7287.5180960324. The cubic root of 53107920 is about 375.8833575115.

The spelling of 53107920 in words is "fifty-three million, one hundred seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 920 1035 1069 1080 1104 1242 1380 1656 1840 2070 2138 2160 2484 2760 3105 3207 3312 4140 4276 4968 5345 5520 6210 6414 8280 8552 9621 9936 10690 12420 12828 16035 16560 17104 19242 21380 24587 24840 25656 28863 32070 38484 42760 48105 49174 49680 51312 57726 64140 73761 76968 85520 96210 98348 115452 122935 128280 144315 147522 153936 192420 196696 221283 230904 245870 256560 288630 295044 368805 384840 393392 442566 461808 491740 577260 590088 663849 737610 769680 885132 983480 1106415 1154520 1180176 1327698 1475220 1770264 1966960 2212830 2309040 2655396 2950440 3319245 3540528 4425660 5310792 5900880 6638490 8851320 10621584 13276980 17702640 26553960 53107920