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41263420 = 22511217259
BaseRepresentation
bin1001110101101…
…0000100111100
32212122101202211
42131122010330
541030412140
64032230204
71010506342
oct235320474
985571684
1041263420
1121323900
121199b364
138719933
1456a1992
1539512ea
hex275a13c

41263420 has 108 divisors (see below), whose sum is σ = 102894120. Its totient is φ = 13882880.

The previous prime is 41263363. The next prime is 41263427. The reversal of 41263420 is 2436214.

It is a happy number.

41263420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 41263391 and 41263400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41263427) 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 35 ways as a sum of consecutive naturals, for example, 699351 + ... + 699409.

Almost surely, 241263420 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 41263420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51447060).

41263420 is an abundant number, since it is smaller than the sum of its proper divisors (61630700).

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

41263420 is a wasteful number, since it uses less digits than its factorization.

41263420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 41263420 is about 6423.6609499568. The cubic root of 41263420 is about 345.5586272883.

Adding to 41263420 its reverse (2436214), we get a palindrome (43699634).

The spelling of 41263420 in words is "forty-one million, two hundred sixty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 59 68 85 110 118 121 170 187 220 236 242 289 295 340 374 484 578 590 605 649 748 935 1003 1156 1180 1210 1298 1445 1870 2006 2057 2420 2596 2890 3179 3245 3740 4012 4114 5015 5780 6358 6490 7139 8228 10030 10285 11033 12716 12980 14278 15895 17051 20060 20570 22066 28556 31790 34102 34969 35695 41140 44132 55165 63580 68204 69938 71390 85255 110330 121363 139876 142780 170510 174845 187561 220660 242726 341020 349690 375122 485452 606815 699380 750244 937805 1213630 1875610 2063171 2427260 3751220 4126342 8252684 10315855 20631710 41263420