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5121120 = 253547227
BaseRepresentation
bin10011100010010001100000
3100122011212010
4103202101200
52302333440
6301432520
761346244
oct23422140
910564763
105121120
112988634
12186b740
1310a3c64
14974424
156b2580
hex4e2460

5121120 has 96 divisors (see below), whose sum is σ = 16547328. Its totient is φ = 1330688.

The previous prime is 5121119. The next prime is 5121143. The reversal of 5121120 is 211215.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 5121096 and 5121105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22447 + ... + 22673.

It is an arithmetic number, because the mean of its divisors is an integer number (172368).

Almost surely, 25121120 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 5121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8273664).

5121120 is an abundant number, since it is smaller than the sum of its proper divisors (11426208).

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

5121120 is a wasteful number, since it uses less digits than its factorization.

5121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 5121120 is about 2262.9891736374. The cubic root of 5121120 is about 172.3673418220.

Adding to 5121120 its reverse (211215), we get a palindrome (5332335).

The spelling of 5121120 in words is "five million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 188 227 235 240 282 376 454 470 480 564 681 705 752 908 940 1128 1135 1362 1410 1504 1816 1880 2256 2270 2724 2820 3405 3632 3760 4512 4540 5448 5640 6810 7264 7520 9080 10669 10896 11280 13620 18160 21338 21792 22560 27240 32007 36320 42676 53345 54480 64014 85352 106690 108960 128028 160035 170704 213380 256056 320070 341408 426760 512112 640140 853520 1024224 1280280 1707040 2560560 5121120