Search a number
-
+
96736720 = 2451209209
BaseRepresentation
bin1011100010000…
…01010111010000
320202000201211111
411301001113100
5144231033340
613333223104
72253151153
oct561012720
9222021744
1096736720
114a672803
1228491a94
1317070382
14cbc1c9a
15875caea
hex5c415d0

96736720 has 20 divisors (see below), whose sum is σ = 224913060. Its totient is φ = 38694656.

The previous prime is 96736711. The next prime is 96736729. The reversal of 96736720 is 2763769.

It is an interprime number because it is at equal distance from previous prime (96736711) and next prime (96736729).

It can be written as a sum of positive squares in 2 ways, for example, as 57699216 + 39037504 = 7596^2 + 6248^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96736729) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 604525 + ... + 604684.

It is an arithmetic number, because the mean of its divisors is an integer number (11245653).

Almost surely, 296736720 is an apocalyptic number.

It is an amenable number.

96736720 is an abundant number, since it is smaller than the sum of its proper divisors (128176340).

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

96736720 is a wasteful number, since it uses less digits than its factorization.

96736720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209222 (or 1209216 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 40.

The square root of 96736720 is about 9835.4827029485. The cubic root of 96736720 is about 459.0540105387.

The spelling of 96736720 in words is "ninety-six million, seven hundred thirty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1209209 2418418 4836836 6046045 9673672 12092090 19347344 24184180 48368360 96736720