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5153120 = 255743107
BaseRepresentation
bin10011101010000101100000
3100200210202022
4103222011200
52304344440
6302241012
761541450
oct23520540
910623668
105153120
1129aa685
121886168
1310b56ab
14981d60
156bbcb5
hex4ea160

5153120 has 96 divisors (see below), whose sum is σ = 14370048. Its totient is φ = 1709568.

The previous prime is 5153117. The next prime is 5153129. The reversal of 5153120 is 213515.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5153129) 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, 48107 + ... + 48213.

It is an arithmetic number, because the mean of its divisors is an integer number (149688).

Almost surely, 25153120 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 5153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7185024).

5153120 is an abundant number, since it is smaller than the sum of its proper divisors (9216928).

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

5153120 is a wasteful number, since it uses less digits than its factorization.

5153120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 5153120 is about 2270.0484576326. The cubic root of 5153120 is about 172.7256167054.

Adding to 5153120 its reverse (213515), we get a palindrome (5366635).

The spelling of 5153120 in words is "five million, one hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 70 80 86 107 112 140 160 172 214 215 224 280 301 344 428 430 535 560 602 688 749 856 860 1070 1120 1204 1376 1498 1505 1712 1720 2140 2408 2996 3010 3424 3440 3745 4280 4601 4816 5992 6020 6880 7490 8560 9202 9632 11984 12040 14980 17120 18404 23005 23968 24080 29960 32207 36808 46010 48160 59920 64414 73616 92020 119840 128828 147232 161035 184040 257656 322070 368080 515312 644140 736160 1030624 1288280 2576560 5153120