Search a number
-
+
71920761 = 31117128201
BaseRepresentation
bin1000100100101…
…10110001111001
312000022221201220
410102112301321
5121402431021
611045302253
71532213343
oct422266171
9160287656
1071920761
1137663150
1220104989
1311b91b83
1497a2293
1564a9cc6
hex4496c79

71920761 has 16 divisors (see below), whose sum is σ = 110766528. Its totient is φ = 41024000.

The previous prime is 71920759. The next prime is 71920777. The reversal of 71920761 is 16702917.

It is a cyclic number.

It is not a de Polignac number, because 71920761 - 21 = 71920759 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (71920061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63540 + ... + 64661.

It is an arithmetic number, because the mean of its divisors is an integer number (6922908).

Almost surely, 271920761 is an apocalyptic number.

It is an amenable number.

71920761 is a deficient number, since it is larger than the sum of its proper divisors (38845767).

71920761 is a wasteful number, since it uses less digits than its factorization.

71920761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128232.

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 71920761 is about 8480.6108860152. The cubic root of 71920761 is about 415.8640939954.

The spelling of 71920761 in words is "seventy-one million, nine hundred twenty thousand, seven hundred sixty-one".

Divisors: 1 3 11 17 33 51 187 561 128201 384603 1410211 2179417 4230633 6538251 23973587 71920761