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73154196 = 223217119533
BaseRepresentation
bin1000101110000…
…11111010010100
312002122121200200
410113003322110
5122211413241
611131540500
71545541353
oct427037224
9162577620
1073154196
1138325915
12205ba730
131220440b
149a0399a
1566504b6
hex45c3e94

73154196 has 36 divisors (see below), whose sum is σ = 195796692. Its totient is φ = 22950144.

The previous prime is 73154167. The next prime is 73154197. The reversal of 73154196 is 69145137.

It can be written as a sum of positive squares in 2 ways, for example, as 45968400 + 27185796 = 6780^2 + 5214^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 73154196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73154197) 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 11 ways as a sum of consecutive naturals, for example, 59155 + ... + 60378.

It is an arithmetic number, because the mean of its divisors is an integer number (5438797).

Almost surely, 273154196 is an apocalyptic number.

It is an amenable number.

73154196 is an abundant number, since it is smaller than the sum of its proper divisors (122642496).

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

73154196 is a wasteful number, since it uses less digits than its factorization.

73154196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119560 (or 119555 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 73154196 is about 8553.0226236109. The cubic root of 73154196 is about 418.2279763393.

It can be divided in two parts, 7315 and 4196, that added together give a palindrome (11511).

The spelling of 73154196 in words is "seventy-three million, one hundred fifty-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 119533 239066 358599 478132 717198 1075797 1434396 2032061 2151594 4064122 4303188 6096183 8128244 12192366 18288549 24384732 36577098 73154196