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41295420 = 2235529293
BaseRepresentation
bin1001110110000…
…1111000111100
32212201000200000
42131201320330
541032423140
64033034300
71011001545
oct235417074
985630600
1041295420
1121345951
12119b5990
13872b37a
1456ad4cc
15395aa30
hex2761e3c

41295420 has 144 divisors (see below), whose sum is σ = 134840160. Its totient is φ = 10596096.

The previous prime is 41295407. The next prime is 41295439. The reversal of 41295420 is 2459214.

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 47 ways as a sum of consecutive naturals, for example, 140794 + ... + 141086.

It is an arithmetic number, because the mean of its divisors is an integer number (936390).

Almost surely, 241295420 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 41295420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67420080).

41295420 is an abundant number, since it is smaller than the sum of its proper divisors (93544740).

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

41295420 is a wasteful number, since it uses less digits than its factorization.

41295420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 41295420 is about 6426.1512587240. The cubic root of 41295420 is about 345.6479317200.

The spelling of 41295420 in words is "forty-one million, two hundred ninety-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 243 261 270 290 293 324 348 405 435 486 522 540 580 586 783 810 870 879 972 1044 1172 1215 1305 1465 1566 1620 1740 1758 2349 2430 2610 2637 2930 3132 3516 3915 4395 4698 4860 5220 5274 5860 7047 7830 7911 8497 8790 9396 10548 11745 13185 14094 15660 15822 16994 17580 23490 23733 25491 26370 28188 31644 33988 35235 39555 42485 46980 47466 50982 52740 70470 71199 76473 79110 84970 94932 101964 118665 127455 140940 142398 152946 158220 169940 229419 237330 254910 284796 305892 355995 382365 458838 474660 509820 688257 711990 764730 917676 1147095 1376514 1423980 1529460 2064771 2294190 2753028 3441285 4129542 4588380 6882570 8259084 10323855 13765140 20647710 41295420