[go: up one dir, main page]

Search a number
-
+
40023500 = 22531119383
BaseRepresentation
bin1001100010101…
…1010111001100
32210022101220212
42120223113030
540221223000
63545501552
7664123406
oct230532714
983271825
1040023500
1120657280
12114a18b8
1383a445a
14545bb76
1537a8c35
hex262b5cc

40023500 has 96 divisors (see below), whose sum is σ = 100638720. Its totient is φ = 13752000.

The previous prime is 40023499. The next prime is 40023551. The reversal of 40023500 is 532004.

40023500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104309 + ... + 104691.

It is an arithmetic number, because the mean of its divisors is an integer number (1048320).

Almost surely, 240023500 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 40023500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50319360).

40023500 is an abundant number, since it is smaller than the sum of its proper divisors (60615220).

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

40023500 is a wasteful number, since it uses less digits than its factorization.

40023500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 40023500 is about 6326.4128856723. The cubic root of 40023500 is about 342.0621502818.

Adding to 40023500 its reverse (532004), we get a palindrome (40555504).

The spelling of 40023500 in words is "forty million, twenty-three thousand, five hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 125 190 209 220 250 275 380 383 418 475 500 550 766 836 950 1045 1100 1375 1532 1900 1915 2090 2375 2750 3830 4180 4213 4750 5225 5500 7277 7660 8426 9500 9575 10450 14554 16852 19150 20900 21065 26125 29108 36385 38300 42130 47875 52250 72770 80047 84260 95750 104500 105325 145540 160094 181925 191500 210650 320188 363850 400235 421300 526625 727700 800470 909625 1053250 1600940 1819250 2001175 2106500 3638500 4002350 8004700 10005875 20011750 40023500