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40683000 = 2335371191
BaseRepresentation
bin1001101100110…
…0010111111000
32211112220120210
42123030113320
540403324000
64011551120
71002541221
oct233142770
984486523
1040683000
1120a67816
121175b4a0
1385756a7
145590248
153889350
hex26cc5f8

40683000 has 128 divisors (see below), whose sum is σ = 129392640. Its totient is φ = 10640000.

The previous prime is 40682981. The next prime is 40683001. The reversal of 40683000 is 38604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40683001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212905 + ... + 213095.

It is an arithmetic number, because the mean of its divisors is an integer number (1010880).

Almost surely, 240683000 is an apocalyptic number.

40683000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40683000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64696320).

40683000 is an abundant number, since it is smaller than the sum of its proper divisors (88709640).

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

40683000 is a wasteful number, since it uses less digits than its factorization.

40683000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 40683000 is about 6378.3226635221. The cubic root of 40683000 is about 343.9307369114.

The spelling of 40683000 in words is "forty million, six hundred eighty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 71 75 100 120 125 142 150 191 200 213 250 284 300 355 375 382 426 500 568 573 600 710 750 764 852 955 1000 1065 1146 1420 1500 1528 1704 1775 1910 2130 2292 2840 2865 3000 3550 3820 4260 4584 4775 5325 5730 7100 7640 8520 8875 9550 10650 11460 13561 14200 14325 17750 19100 21300 22920 23875 26625 27122 28650 35500 38200 40683 42600 47750 53250 54244 57300 67805 71000 71625 81366 95500 106500 108488 114600 135610 143250 162732 191000 203415 213000 271220 286500 325464 339025 406830 542440 573000 678050 813660 1017075 1356100 1627320 1695125 2034150 2712200 3390250 4068300 5085375 6780500 8136600 10170750 13561000 20341500 40683000