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53468160 = 21035592
BaseRepresentation
bin1100101111110…
…1110000000000
310201121110112020
43023331300000
5102141440120
65150001440
71216320564
oct313756000
9121543466
1053468160
11281aa469
1215aa6280
13b100b85
14715b6a4
154a62640
hex32fdc00

53468160 has 132 divisors (see below), whose sum is σ = 173962248. Its totient is φ = 14016512.

The previous prime is 53468159. The next prime is 53468167. The reversal of 53468160 is 6186435.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53468167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 906211 + ... + 906269.

Almost surely, 253468160 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 53468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86981124).

53468160 is an abundant number, since it is smaller than the sum of its proper divisors (120494088).

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

53468160 is an equidigital number, since it uses as much as digits as its factorization.

53468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 53468160 is about 7312.1925576396. The cubic root of 53468160 is about 376.7313365176.

It can be divided in two parts, 53468 and 160, that added together give a triangular number (53628 = T327).

The spelling of 53468160 in words is "fifty-three million, four hundred sixty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 64 80 96 118 120 128 160 177 192 236 240 256 295 320 354 384 472 480 512 590 640 708 768 885 944 960 1024 1180 1280 1416 1536 1770 1888 1920 2360 2560 2832 3072 3481 3540 3776 3840 4720 5120 5664 6962 7080 7552 7680 9440 10443 11328 13924 14160 15104 15360 17405 18880 20886 22656 27848 28320 30208 34810 37760 41772 45312 52215 55696 56640 60416 69620 75520 83544 90624 104430 111392 113280 139240 151040 167088 181248 208860 222784 226560 278480 302080 334176 417720 445568 453120 556960 668352 835440 891136 906240 1113920 1336704 1670880 1782272 2227840 2673408 3341760 3564544 4455680 5346816 6683520 8911360 10693632 13367040 17822720 26734080 53468160