Search a number
-
+
40991100 = 22352139983
BaseRepresentation
bin1001110001011…
…1100101111100
32212010120012220
42130113211330
540443203400
64022325340
71005263403
oct234274574
985116186
1040991100
1121158247
1211889850
1386529b7
14563063a
1538ea7a0
hex271797c

40991100 has 72 divisors (see below), whose sum is σ = 119575680. Its totient is φ = 10841280.

The previous prime is 40991099. The next prime is 40991107. The reversal of 40991100 is 119904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40991107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41209 + ... + 42191.

Almost surely, 240991100 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 40991100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59787840).

40991100 is an abundant number, since it is smaller than the sum of its proper divisors (78584580).

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

40991100 is a wasteful number, since it uses less digits than its factorization.

40991100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 40991100 is about 6402.4292264733. The cubic root of 40991100 is about 344.7967717177.

The spelling of 40991100 in words is "forty million, nine hundred ninety-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 139 150 278 300 417 556 695 834 983 1390 1668 1966 2085 2780 2949 3475 3932 4170 4915 5898 6950 8340 9830 10425 11796 13900 14745 19660 20850 24575 29490 41700 49150 58980 73725 98300 136637 147450 273274 294900 409911 546548 683185 819822 1366370 1639644 2049555 2732740 3415925 4099110 6831850 8198220 10247775 13663700 20495550 40991100