Search a number
-
+
40100736 = 2731329277
BaseRepresentation
bin1001100011111…
…0001110000000
32210110022212110
42120332032000
540231210421
63551255320
7664564524
oct230761600
983408773
1040100736
11206aa305
121151a540
138400660
14547bd84
1537c1a76
hex263e380

40100736 has 128 divisors (see below), whose sum is σ = 119095200. Its totient is φ = 11870208.

The previous prime is 40100719. The next prime is 40100743. The reversal of 40100736 is 63700104.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144630 + ... + 144906.

Almost surely, 240100736 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 40100736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59547600).

40100736 is an abundant number, since it is smaller than the sum of its proper divisors (78994464).

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

40100736 is a wasteful number, since it uses less digits than its factorization.

40100736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 40100736 is about 6332.5141926410. The cubic root of 40100736 is about 342.2820422281.

The spelling of 40100736 in words is "forty million, one hundred thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 128 156 174 192 208 232 277 312 348 377 384 416 464 554 624 696 754 831 832 928 1108 1131 1248 1392 1508 1662 1664 1856 2216 2262 2496 2784 3016 3324 3601 3712 4432 4524 4992 5568 6032 6648 7202 8033 8864 9048 10803 11136 12064 13296 14404 16066 17728 18096 21606 24099 24128 26592 28808 32132 35456 36192 43212 48198 48256 53184 57616 64264 72384 86424 96396 104429 106368 115232 128528 144768 172848 192792 208858 230464 257056 313287 345696 385584 417716 460928 514112 626574 691392 771168 835432 1028224 1253148 1382784 1542336 1670864 2506296 3084672 3341728 5012592 6683456 10025184 13366912 20050368 40100736