Search a number
-
+
15161040 = 243357019
BaseRepresentation
bin111001110101…
…011011010000
31001112021001000
4321311123100
512340123130
61300542000
7242603166
oct71653320
931467030
1015161040
118615794
1250b1900
1331aaa3b
142029236
1514e7260
hexe756d0

15161040 has 80 divisors (see below), whose sum is σ = 52228800. Its totient is φ = 4042368.

The previous prime is 15161017. The next prime is 15161057. The reversal of 15161040 is 4016151.

15161040 is a `hidden beast` number, since 1 + 51 + 610 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

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 15 ways as a sum of consecutive naturals, for example, 1350 + ... + 5669.

It is an arithmetic number, because the mean of its divisors is an integer number (652860).

Almost surely, 215161040 is an apocalyptic number.

15161040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15161040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26114400).

15161040 is an abundant number, since it is smaller than the sum of its proper divisors (37067760).

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

15161040 is a wasteful number, since it uses less digits than its factorization.

15161040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7041 (or 7029 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 15161040 is about 3893.7180175252. The cubic root of 15161040 is about 247.5006427899.

Adding to 15161040 its reverse (4016151), we get a palindrome (19177191).

It can be divided in two parts, 1516 and 1040, that added together give a triangular number (2556 = T71).

The spelling of 15161040 in words is "fifteen million, one hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 7019 14038 21057 28076 35095 42114 56152 63171 70190 84228 105285 112304 126342 140380 168456 189513 210570 252684 280760 315855 336912 379026 421140 505368 561520 631710 758052 842280 947565 1010736 1263420 1516104 1684560 1895130 2526840 3032208 3790260 5053680 7580520 15161040