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40683780 = 223252331317
BaseRepresentation
bin1001101100110…
…0100100000100
32211112221122200
42123030210010
540403340110
64011554500
71002543414
oct233144404
984487580
1040683780
1120a68365
121175ba30
138575b57
145590644
1538896c0
hex26cc904

40683780 has 144 divisors (see below), whose sum is σ = 133346304. Its totient is φ = 10010880.

The previous prime is 40683761. The next prime is 40683793. The reversal of 40683780 is 8738604.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

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, 128182 + ... + 128498.

It is an arithmetic number, because the mean of its divisors is an integer number (926016).

Almost surely, 240683780 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 40683780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66673152).

40683780 is an abundant number, since it is smaller than the sum of its proper divisors (92662524).

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

40683780 is a wasteful number, since it uses less digits than its factorization.

40683780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 40683780 is about 6378.3838078309. The cubic root of 40683780 is about 343.9329349160.

The spelling of 40683780 in words is "forty million, six hundred eighty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 31 36 45 46 60 62 69 90 92 93 115 124 138 155 180 186 207 230 276 279 310 317 345 372 414 460 465 558 620 634 690 713 828 930 951 1035 1116 1268 1380 1395 1426 1585 1860 1902 2070 2139 2790 2852 2853 3170 3565 3804 4140 4278 4755 5580 5706 6340 6417 7130 7291 8556 9510 9827 10695 11412 12834 14260 14265 14582 19020 19654 21390 21873 25668 28530 29164 29481 32085 36455 39308 42780 43746 49135 57060 58962 64170 65619 72910 87492 88443 98270 109365 117924 128340 131238 145820 147405 176886 196540 218730 226021 262476 294810 328095 353772 437460 442215 452042 589620 656190 678063 884430 904084 1130105 1312380 1356126 1768860 2034189 2260210 2712252 3390315 4068378 4520420 6780630 8136756 10170945 13561260 20341890 40683780