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41274420 = 223511232719
BaseRepresentation
bin1001110101110…
…0110000110100
32212122221212020
42131130300310
541031240140
64032353140
71010553405
oct235346064
985587766
1041274420
11213310a0
12119a57b0
138721945
1456a59ac
1539546d0
hex275cc34

41274420 has 96 divisors (see below), whose sum is σ = 131604480. Its totient is φ = 9567360.

The previous prime is 41274407. The next prime is 41274427. The reversal of 41274420 is 2447214.

41274420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41274427) 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 31 ways as a sum of consecutive naturals, for example, 13821 + ... + 16539.

It is an arithmetic number, because the mean of its divisors is an integer number (1370880).

Almost surely, 241274420 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 41274420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65802240).

41274420 is an abundant number, since it is smaller than the sum of its proper divisors (90330060).

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

41274420 is a wasteful number, since it uses less digits than its factorization.

41274420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 41274420 is about 6424.5171024755. The cubic root of 41274420 is about 345.5893308928.

The spelling of 41274420 in words is "forty-one million, two hundred seventy-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 2719 3036 3795 5060 5438 7590 8157 10876 13595 15180 16314 27190 29909 32628 40785 54380 59818 62537 81570 89727 119636 125074 149545 163140 179454 187611 250148 299090 312685 358908 375222 448635 598180 625370 687907 750444 897270 938055 1250740 1375814 1794540 1876110 2063721 2751628 3439535 3752220 4127442 6879070 8254884 10318605 13758140 20637210 41274420