Search a number
-
+
73153680 = 2435304807
BaseRepresentation
bin1000101110000…
…11110010010000
312002122120222120
410113003302100
5122211404210
611131534240
71545540015
oct427036220
9162576876
1073153680
1138325496
12205ba380
1312204102
149a0370c
156650270
hex45c3c90

73153680 has 40 divisors (see below), whose sum is σ = 226777152. Its totient is φ = 19507584.

The previous prime is 73153673. The next prime is 73153681. The reversal of 73153680 is 8635137.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (73153681) 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 7 ways as a sum of consecutive naturals, for example, 152164 + ... + 152643.

Almost surely, 273153680 is an apocalyptic number.

It is an amenable number.

73153680 is an abundant number, since it is smaller than the sum of its proper divisors (153623472).

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

73153680 is a wasteful number, since it uses less digits than its factorization.

73153680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304823 (or 304817 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 73153680 is about 8552.9924587831. The cubic root of 73153680 is about 418.2269930002.

The spelling of 73153680 in words is "seventy-three million, one hundred fifty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 304807 609614 914421 1219228 1524035 1828842 2438456 3048070 3657684 4572105 4876912 6096140 7315368 9144210 12192280 14630736 18288420 24384560 36576840 73153680