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5025120 = 253519229
BaseRepresentation
bin10011001010110101100000
3100110022011120
4103022311200
52241300440
6255412240
760466332
oct23126540
910408146
105025120
1129224a1
121824080
13106c359
1494b452
15693dd0
hex4cad60

5025120 has 144 divisors (see below), whose sum is σ = 17282160. Its totient is φ = 1225728.

The previous prime is 5025113. The next prime is 5025133. The reversal of 5025120 is 215205.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5025120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173266 + ... + 173294.

It is an arithmetic number, because the mean of its divisors is an integer number (120015).

Almost surely, 25025120 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 5025120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8641080).

5025120 is an abundant number, since it is smaller than the sum of its proper divisors (12257040).

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

5025120 is a wasteful number, since it uses less digits than its factorization.

5025120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 5025120 is about 2241.6779429704. The cubic root of 5025120 is about 171.2834804094.

The spelling of 5025120 in words is "five million, twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 29 30 32 38 40 48 57 58 60 76 80 87 95 96 114 116 120 145 152 160 174 190 228 232 240 285 290 304 348 361 380 435 456 464 480 551 570 580 608 696 722 760 870 912 928 1083 1102 1140 1160 1392 1444 1520 1653 1740 1805 1824 2166 2204 2280 2320 2755 2784 2888 3040 3306 3480 3610 4332 4408 4560 4640 5415 5510 5776 6612 6960 7220 8265 8664 8816 9120 10469 10830 11020 11552 13224 13920 14440 16530 17328 17632 20938 21660 22040 26448 28880 31407 33060 34656 41876 43320 44080 52345 52896 57760 62814 66120 83752 86640 88160 104690 125628 132240 157035 167504 173280 209380 251256 264480 314070 335008 418760 502512 628140 837520 1005024 1256280 1675040 2512560 5025120