Search a number
-
+
40215096 = 23331941239
BaseRepresentation
bin1001100101101…
…0001000111000
32210200010202000
42121122020320
540243340341
63553541000
7665552115
oct231321070
983603660
1040215096
1120778219
1211574760
13844071c
1454ab90c
1537e58b6
hex265a238

40215096 has 128 divisors (see below), whose sum is σ = 120960000. Its totient is φ = 12337920.

The previous prime is 40215089. The next prime is 40215107. The reversal of 40215096 is 69051204.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 168145 + ... + 168383.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 240215096 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 40215096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480000).

40215096 is an abundant number, since it is smaller than the sum of its proper divisors (80744904).

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

40215096 is a wasteful number, since it uses less digits than its factorization.

40215096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 40215096 is about 6341.5373530399. The cubic root of 40215096 is about 342.6071087744.

The spelling of 40215096 in words is "forty million, two hundred fifteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 41 54 57 72 76 82 108 114 123 152 164 171 216 228 239 246 328 342 369 456 478 492 513 684 717 738 779 956 984 1026 1107 1368 1434 1476 1558 1912 2052 2151 2214 2337 2868 2952 3116 4104 4302 4428 4541 4674 5736 6232 6453 7011 8604 8856 9082 9348 9799 12906 13623 14022 17208 18164 18696 19598 21033 25812 27246 28044 29397 36328 39196 40869 42066 51624 54492 56088 58794 78392 81738 84132 88191 108984 117588 122607 163476 168264 176382 186181 235176 245214 264573 326952 352764 372362 490428 529146 558543 705528 744724 980856 1058292 1117086 1489448 1675629 2116584 2234172 3351258 4468344 5026887 6702516 10053774 13405032 20107548 40215096