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5169120 = 253511289
BaseRepresentation
bin10011101101111111100000
3100201121200220
4103231333200
52310402440
6302443040
761636215
oct23557740
910647626
105169120
112a10700
121893480
1310bca68
14987b0c
156c18d0
hex4edfe0

5169120 has 144 divisors (see below), whose sum is σ = 18098640. Its totient is φ = 1239040.

The previous prime is 5169113. The next prime is 5169137. The reversal of 5169120 is 219615.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 58036 + ... + 58124.

It is an arithmetic number, because the mean of its divisors is an integer number (125685).

Almost surely, 25169120 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 5169120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9049320).

5169120 is an abundant number, since it is smaller than the sum of its proper divisors (12929520).

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

5169120 is a wasteful number, since it uses less digits than its factorization.

5169120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 5169120 is about 2273.5698801664. The cubic root of 5169120 is about 172.9041981300.

The spelling of 5169120 in words is "five million, one hundred sixty-nine 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 89 96 110 120 121 132 160 165 176 178 220 240 242 264 267 330 352 356 363 440 445 480 484 528 534 605 660 712 726 880 890 968 979 1056 1068 1210 1320 1335 1424 1452 1760 1780 1815 1936 1958 2136 2420 2640 2670 2848 2904 2937 3560 3630 3872 3916 4272 4840 4895 5280 5340 5808 5874 7120 7260 7832 8544 9680 9790 10680 10769 11616 11748 14240 14520 14685 15664 19360 19580 21360 21538 23496 29040 29370 31328 32307 39160 42720 43076 46992 53845 58080 58740 64614 78320 86152 93984 107690 117480 129228 156640 161535 172304 215380 234960 258456 323070 344608 430760 469920 516912 646140 861520 1033824 1292280 1723040 2584560 5169120