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2147136260 = 225315979743
BaseRepresentation
bin111111111111010…
…1011001100000100
312112122012211020012
41333332223030010
513344131330020
6553020325352
7104131233323
oct17776531404
95478184205
102147136260
11a02003285
124bb0a3858
13282ab2939
1416523a0ba
15c87787c5
hex7ffab304

2147136260 has 96 divisors (see below), whose sum is σ = 4799692800. Its totient is φ = 805633920.

The previous prime is 2147136247. The next prime is 2147136263. The reversal of 2147136260 is 626317412.

It is a super-2 number, since 2×21471362602 = 9220388238013575200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2147136263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2889449 + ... + 2890191.

It is an arithmetic number, because the mean of its divisors is an integer number (49996800).

Almost surely, 22147136260 is an apocalyptic number.

2147136260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2147136260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399846400).

2147136260 is an abundant number, since it is smaller than the sum of its proper divisors (2652556540).

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

2147136260 is a wasteful number, since it uses less digits than its factorization.

2147136260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 2147136260 is about 46337.2016850392. The cubic root of 2147136260 is about 1290.0895837473.

The spelling of 2147136260 in words is "two billion, one hundred forty-seven million, one hundred thirty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 31 59 62 79 118 124 155 158 236 295 310 316 395 590 620 743 790 1180 1486 1580 1829 2449 2972 3658 3715 4661 4898 7316 7430 9145 9322 9796 12245 14860 18290 18644 23033 23305 24490 36580 43837 46066 46610 48980 58697 87674 92132 93220 115165 117394 144491 175348 219185 230330 234788 288982 293485 438370 460660 577964 586970 722455 876740 1173940 1358947 1444910 1819607 2717894 2889820 3463123 3639214 5435788 6794735 6926246 7278428 9098035 13589470 13852492 17315615 18196070 27178940 34631230 36392140 69262460 107356813 214713626 429427252 536784065 1073568130 2147136260