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5007612240 = 243353676317
BaseRepresentation
bin1001010100111101…
…00001100101010000
3110220222201001121000
410222132201211100
540223422042430
62144522302000
7235044000411
oct45236414520
913828631530
105007612240
11213a737214
12b79057900
1361a5c5687
143570c3808
151e495be60
hex12a7a1950

5007612240 has 160 divisors (see below), whose sum is σ = 17298178560. Its totient is φ = 1331513856.

The previous prime is 5007612229. The next prime is 5007612251. The reversal of 5007612240 is 422167005.

5007612240 is a `hidden beast` number, since 5 + 0 + 0 + 7 + 612 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5007612229) and next prime (5007612251).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 789562 + ... + 795878.

It is an arithmetic number, because the mean of its divisors is an integer number (108113616).

Almost surely, 25007612240 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 5007612240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8649089280).

5007612240 is an abundant number, since it is smaller than the sum of its proper divisors (12290566320).

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

5007612240 is a wasteful number, since it uses less digits than its factorization.

5007612240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6706 (or 6694 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5007612240 is about 70764.4843124007. The cubic root of 5007612240 is about 1710.8432898172.

Adding to 5007612240 its reverse (422167005), we get a palindrome (5429779245).

The spelling of 5007612240 in words is "five billion, seven million, six hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 367 432 540 720 734 1080 1101 1468 1835 2160 2202 2936 3303 3670 4404 5505 5872 6317 6606 7340 8808 9909 11010 12634 13212 14680 16515 17616 18951 19818 22020 25268 26424 29360 31585 33030 37902 39636 44040 49545 50536 52848 56853 63170 66060 75804 79272 88080 94755 99090 101072 113706 126340 132120 151608 158544 170559 189510 198180 227412 252680 264240 284265 303216 341118 379020 396360 454824 505360 568530 682236 758040 792720 852795 909648 1137060 1364472 1516080 1705590 2274120 2318339 2728944 3411180 4548240 4636678 6822360 6955017 9273356 11591695 13644720 13910034 18546712 20865051 23183390 27820068 34775085 37093424 41730102 46366780 55640136 62595153 69550170 83460204 92733560 104325255 111280272 125190306 139100340 166920408 185467120 208650510 250380612 278200680 312975765 333840816 417301020 500761224 556401360 625951530 834602040 1001522448 1251903060 1669204080 2503806120 5007612240