Search a number
-
+
73099404 = 223271072711
BaseRepresentation
bin1000101101101…
…10100010001100
312002112211112100
410112312202030
5122203140104
611130435100
71545222540
oct426664214
9162484470
1073099404
1138298734
1220592a90
13121b54b1
1499cba20
15663e139
hex45b688c

73099404 has 72 divisors (see below), whose sum is σ = 213228288. Its totient is φ = 20682720.

The previous prime is 73099393. The next prime is 73099417. The reversal of 73099404 is 40499037.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25609 + ... + 28319.

It is an arithmetic number, because the mean of its divisors is an integer number (2961504).

Almost surely, 273099404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73099404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106614144).

73099404 is an abundant number, since it is smaller than the sum of its proper divisors (140128884).

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

73099404 is a wasteful number, since it uses less digits than its factorization.

73099404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2835 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 73099404 is about 8549.8189454514. The cubic root of 73099404 is about 418.1235336137.

The spelling of 73099404 in words is "seventy-three million, ninety-nine thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 214 252 321 428 642 749 963 1284 1498 1926 2247 2711 2996 3852 4494 5422 6741 8133 8988 10844 13482 16266 18977 24399 26964 32532 37954 48798 56931 75908 97596 113862 170793 227724 290077 341586 580154 683172 870231 1160308 1740462 2030539 2610693 3480924 4061078 5221386 6091617 8122156 10442772 12183234 18274851 24366468 36549702 73099404