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53217120 = 25351110079
BaseRepresentation
bin1100101100000…
…0011101100000
310201010201011110
43023000131200
5102110421440
65140343320
71214223645
oct313003540
9121121143
1053217120
11280488a0
12159a4b40
13b043828
1470d3dcc
154a13080
hex32c0760

53217120 has 96 divisors (see below), whose sum is σ = 182891520. Its totient is φ = 12899840.

The previous prime is 53217097. The next prime is 53217121. The reversal of 53217120 is 2171235.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×532171202 = 5664123722188800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53217121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241 + ... + 10319.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 253217120 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 53217120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

53217120 is an abundant number, since it is smaller than the sum of its proper divisors (129674400).

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

53217120 is a wasteful number, since it uses less digits than its factorization.

53217120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10108 (or 10100 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 53217120 is about 7295.0065113062. The cubic root of 53217120 is about 376.1408103962.

Adding to 53217120 its reverse (2171235), we get a palindrome (55388355).

The spelling of 53217120 in words is "fifty-three million, two hundred seventeen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 10079 20158 30237 40316 50395 60474 80632 100790 110869 120948 151185 161264 201580 221738 241896 302370 322528 332607 403160 443476 483792 554345 604740 665214 806320 886952 967584 1108690 1209480 1330428 1612640 1663035 1773904 2217380 2418960 2660856 3326070 3547808 4434760 4837920 5321712 6652140 8869520 10643424 13304280 17739040 26608560 53217120