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601301272 = 231121371673
BaseRepresentation
bin100011110101110…
…010000100011000
31112220110021021111
4203311302010120
52212413120042
6135355550104
720620655635
oct4365620430
91486407244
10601301272
11289467600
1214945b334
1397762c90
1459c0518c
1537bc8517
hex23d72118

601301272 has 96 divisors (see below), whose sum is σ = 1355387040. Its totient is φ = 248371200.

The previous prime is 601301269. The next prime is 601301279. The reversal of 601301272 is 272103106.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601301279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 893128 + ... + 893800.

It is an arithmetic number, because the mean of its divisors is an integer number (14118615).

Almost surely, 2601301272 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 601301272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677693520).

601301272 is an abundant number, since it is smaller than the sum of its proper divisors (754085768).

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

601301272 is a wasteful number, since it uses less digits than its factorization.

601301272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 601301272 is about 24521.4451450154. The cubic root of 601301272 is about 844.0419668717.

Adding to 601301272 its reverse (272103106), we get a palindrome (873404378).

The spelling of 601301272 in words is "six hundred one million, three hundred one thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 71 88 104 121 142 143 242 284 286 484 568 572 673 781 923 968 1144 1346 1562 1573 1846 2692 3124 3146 3692 5384 6248 6292 7384 7403 8591 8749 10153 12584 14806 17182 17498 20306 29612 34364 34996 40612 47783 59224 68728 69992 81224 81433 95566 96239 111683 162866 191132 192478 223366 325732 382264 384956 446732 525613 621179 651464 769912 893464 1051226 1058629 1242358 2102452 2117258 2484716 4204904 4234516 4969432 5781743 6832969 8469032 11563486 13665938 23126972 27331876 46253944 54663752 75162659 150325318 300650636 601301272