Search a number
-
+
116096240 = 24513231277
BaseRepresentation
bin1101110101101…
…11110011110000
322002110022002202
412322313303300
5214210034430
615304202332
72606542001
oct672676360
9262408082
10116096240
115a595907
1232a693a8
131b08b100
14115c11a8
15a2d3d45
hex6eb7cf0

116096240 has 120 divisors (see below), whose sum is σ = 302802048. Its totient is φ = 41333760.

The previous prime is 116096231. The next prime is 116096287. The reversal of 116096240 is 42690611.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418982 + ... + 419258.

Almost surely, 2116096240 is an apocalyptic number.

116096240 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 116096240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151401024).

116096240 is an abundant number, since it is smaller than the sum of its proper divisors (186705808).

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

116096240 is a wasteful number, since it uses less digits than its factorization.

116096240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 116096240 is about 10774.7965178002. The cubic root of 116096240 is about 487.8347330719.

The spelling of 116096240 in words is "one hundred sixteen million, ninety-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 169 208 248 260 277 310 338 403 496 520 554 620 676 806 845 1040 1108 1240 1352 1385 1612 1690 2015 2216 2480 2704 2770 3224 3380 3601 4030 4432 5239 5540 6448 6760 7202 8060 8587 10478 11080 13520 14404 16120 17174 18005 20956 22160 26195 28808 32240 34348 36010 41912 42935 46813 52390 57616 68696 72020 83824 85870 93626 104780 111631 137392 144040 171740 187252 209560 223262 234065 288080 343480 374504 419120 446524 468130 558155 686960 749008 893048 936260 1116310 1451203 1786096 1872520 2232620 2902406 3745040 4465240 5804812 7256015 8930480 11609624 14512030 23219248 29024060 58048120 116096240