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40706100 = 223252311459
BaseRepresentation
bin1001101101001…
…0000000110100
32211121002021100
42123102000310
540410043400
64012250100
71002665451
oct233220064
984532240
1040706100
1120a83106
1211770930
138583066
145598828
153891100
hex26d2034

40706100 has 108 divisors (see below), whose sum is σ = 131797120. Its totient is φ = 10497600.

The previous prime is 40706077. The next prime is 40706101. The reversal of 40706100 is 160704.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40706101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27171 + ... + 28629.

Almost surely, 240706100 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 40706100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65898560).

40706100 is an abundant number, since it is smaller than the sum of its proper divisors (91091020).

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

40706100 is a wasteful number, since it uses less digits than its factorization.

40706100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 40706100 is about 6380.1332274491. The cubic root of 40706100 is about 343.9958197617.

Adding to 40706100 its reverse (160704), we get a palindrome (40866804).

The spelling of 40706100 in words is "forty million, seven hundred six thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 31 36 45 50 60 62 75 90 93 100 124 150 155 180 186 225 279 300 310 372 450 465 558 620 775 900 930 1116 1395 1459 1550 1860 2325 2790 2918 3100 4377 4650 5580 5836 6975 7295 8754 9300 13131 13950 14590 17508 21885 26262 27900 29180 36475 43770 45229 52524 65655 72950 87540 90458 109425 131310 135687 145900 180916 218850 226145 262620 271374 328275 407061 437700 452290 542748 656550 678435 814122 904580 1130725 1313100 1356870 1628244 2035305 2261450 2713740 3392175 4070610 4522900 6784350 8141220 10176525 13568700 20353050 40706100