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41328630 = 2345737197
BaseRepresentation
bin1001110110100…
…1111111110110
32212202201020000
42131221333312
541040004010
64033452130
71011200430
oct235517766
985681200
1041328630
11213688a2
1211a11046
138740515
1456bb650
1539657c0
hex2769ff6

41328630 has 160 divisors (see below), whose sum is σ = 131098176. Its totient is φ = 9144576.

The previous prime is 41328619. The next prime is 41328671. The reversal of 41328630 is 3682314.

It is a happy number.

41328630 is a `hidden beast` number, since 4 + 1 + 3 + 28 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 41328594 and 41328603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 209692 + ... + 209888.

Almost surely, 241328630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41328630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65549088).

41328630 is an abundant number, since it is smaller than the sum of its proper divisors (89769546).

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

41328630 is a wasteful number, since it uses less digits than its factorization.

41328630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 41328630 is about 6428.7347122120. The cubic root of 41328630 is about 345.7405642044.

The spelling of 41328630 in words is "forty-one million, three hundred twenty-eight thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 37 42 45 54 63 70 74 81 90 105 111 126 135 162 185 189 197 210 222 259 270 315 333 370 378 394 405 518 555 567 591 630 666 777 810 945 985 999 1110 1134 1182 1295 1379 1554 1665 1773 1890 1970 1998 2331 2590 2758 2835 2955 2997 3330 3546 3885 4137 4662 4995 5319 5670 5910 5994 6895 6993 7289 7770 8274 8865 9990 10638 11655 12411 13790 13986 14578 14985 15957 17730 20685 20979 21867 23310 24822 26595 29970 31914 34965 36445 37233 41370 41958 43734 51023 53190 62055 65601 69930 72890 74466 79785 102046 104895 109335 111699 124110 131202 153069 159570 186165 196803 209790 218670 223398 255115 306138 328005 372330 393606 459207 510230 558495 590409 656010 765345 918414 984015 1116990 1180818 1377621 1530690 1968030 2296035 2755242 2952045 4132863 4592070 5904090 6888105 8265726 13776210 20664315 41328630