Search a number
-
+
87113040 = 2435751853
BaseRepresentation
bin1010011000100…
…11110101010000
320001220210121220
411030103311100
5134300104130
612351045040
72105306610
oct514236520
9201823556
1087113040
114519a353
1225210780
1315080ba1
14b7d8a40
1579ab410
hex5313d50

87113040 has 80 divisors (see below), whose sum is σ = 308635008. Its totient is φ = 19911168.

The previous prime is 87113027. The next prime is 87113041. The reversal of 87113040 is 4031178.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 87113040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87113041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24247 + ... + 27606.

Almost surely, 287113040 is an apocalyptic number.

87113040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87113040 is an abundant number, since it is smaller than the sum of its proper divisors (221521968).

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

87113040 is a wasteful number, since it uses less digits than its factorization.

87113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51876 (or 51870 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 87113040 is about 9333.4366660946. The cubic root of 87113040 is about 443.2965893128.

The spelling of 87113040 in words is "eighty-seven million, one hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 51853 103706 155559 207412 259265 311118 362971 414824 518530 622236 725942 777795 829648 1037060 1088913 1244472 1451884 1555590 1814855 2074120 2177826 2488944 2903768 3111180 3629710 4148240 4355652 5444565 5807536 6222360 7259420 8711304 10889130 12444720 14518840 17422608 21778260 29037680 43556520 87113040