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5148920 = 235723771
BaseRepresentation
bin10011101001000011111000
3100200120222202
4103221003320
52304231140
6302205332
761523300
oct23510370
910616882
105148920
1129a7507
121883848
1310b37ca
14980600
156ba915
hex4e90f8

5148920 has 96 divisors (see below), whose sum is σ = 14035680. Its totient is φ = 1693440.

The previous prime is 5148893. The next prime is 5148937. The reversal of 5148920 is 298415.

5148920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51489202 = 53022754332800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72485 + ... + 72555.

It is an arithmetic number, because the mean of its divisors is an integer number (146205).

Almost surely, 25148920 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 5148920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7017840).

5148920 is an abundant number, since it is smaller than the sum of its proper divisors (8886760).

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

5148920 is a wasteful number, since it uses less digits than its factorization.

5148920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 5148920 is about 2269.1231786750. The cubic root of 5148920 is about 172.6786778431.

The spelling of 5148920 in words is "five million, one hundred forty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 49 56 70 71 74 98 140 142 148 185 196 245 259 280 284 296 355 370 392 490 497 518 568 710 740 980 994 1036 1295 1420 1480 1813 1960 1988 2072 2485 2590 2627 2840 3479 3626 3976 4970 5180 5254 6958 7252 9065 9940 10360 10508 13135 13916 14504 17395 18130 18389 19880 21016 26270 27832 34790 36260 36778 52540 69580 72520 73556 91945 105080 128723 139160 147112 183890 257446 367780 514892 643615 735560 1029784 1287230 2574460 5148920