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96131040 = 2535200273
BaseRepresentation
bin1011011101011…
…01011111100000
320200212221222220
411232231133200
5144102143130
613312231040
72245046265
oct556553740
9220787886
1096131040
114a299745
122823b480
1316bba795
14caa526c
15868d410
hex5bad7e0

96131040 has 48 divisors (see below), whose sum is σ = 302814288. Its totient is φ = 25634816.

The previous prime is 96131011. The next prime is 96131041. The reversal of 96131040 is 4013169.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 96131040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96131041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99657 + ... + 100616.

It is an arithmetic number, because the mean of its divisors is an integer number (6308631).

Almost surely, 296131040 is an apocalyptic number.

It is an amenable number.

96131040 is an abundant number, since it is smaller than the sum of its proper divisors (206683248).

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

96131040 is a wasteful number, since it uses less digits than its factorization.

96131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200291 (or 200283 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 96131040 is about 9804.6437977114. The cubic root of 96131040 is about 458.0939402915.

The spelling of 96131040 in words is "ninety-six million, one hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 200273 400546 600819 801092 1001365 1201638 1602184 2002730 2403276 3004095 3204368 4005460 4806552 6008190 6408736 8010920 9613104 12016380 16021840 19226208 24032760 32043680 48065520 96131040