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5001120 = 2532523151
BaseRepresentation
bin10011000100111110100000
3100102002020200
4103010332200
52240013440
6255105200
760336345
oct23047640
910362220
105001120
112906463
121812200
131061457
149427cc
1568bc30
hex4c4fa0

5001120 has 144 divisors (see below), whose sum is σ = 17926272. Its totient is φ = 1267200.

The previous prime is 5001119. The next prime is 5001121. The reversal of 5001120 is 211005.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5001119) and next prime (5001121).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×50011202 = 50022402508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (5001121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33045 + ... + 33195.

It is an arithmetic number, because the mean of its divisors is an integer number (124488).

Almost surely, 25001120 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 5001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8963136).

5001120 is an abundant number, since it is smaller than the sum of its proper divisors (12925152).

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

5001120 is a wasteful number, since it uses less digits than its factorization.

5001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 5001120 is about 2236.3184030902. The cubic root of 5001120 is about 171.0103615349.

Adding to 5001120 its reverse (211005), we get a palindrome (5212125).

The spelling of 5001120 in words is "five million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 151 160 180 184 207 230 240 276 288 302 345 360 368 414 453 460 480 552 604 690 720 736 755 828 906 920 1035 1104 1208 1359 1380 1440 1510 1656 1812 1840 2070 2208 2265 2416 2718 2760 3020 3312 3473 3624 3680 4140 4530 4832 5436 5520 6040 6624 6795 6946 7248 8280 9060 10419 10872 11040 12080 13590 13892 14496 16560 17365 18120 20838 21744 24160 27180 27784 31257 33120 34730 36240 41676 43488 52095 54360 55568 62514 69460 72480 83352 104190 108720 111136 125028 138920 156285 166704 208380 217440 250056 277840 312570 333408 416760 500112 555680 625140 833520 1000224 1250280 1667040 2500560 5001120