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95004 = 223271329
BaseRepresentation
bin10111001100011100
311211022200
4113030130
511020004
62011500
7543660
oct271434
9154280
1095004
1165418
1246b90
1334320
14268a0
151d239
hex1731c

95004 has 72 divisors (see below), whose sum is σ = 305760. Its totient is φ = 24192.

The previous prime is 95003. The next prime is 95009. The reversal of 95004 is 40059.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3262 + ... + 3290.

295004 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 95004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152880).

95004 is an abundant number, since it is smaller than the sum of its proper divisors (210756).

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

95004 is a wasteful number, since it uses less digits than its factorization.

95004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 95004 is about 308.2271889370. The cubic root of 95004 is about 45.6296667523.

Subtracting from 95004 its reverse (40059), we obtain a palindrome (54945).

The spelling of 95004 in words is "ninety-five thousand, four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 29 36 39 42 52 58 63 78 84 87 91 116 117 126 156 174 182 203 234 252 261 273 348 364 377 406 468 522 546 609 754 812 819 1044 1092 1131 1218 1508 1638 1827 2262 2436 2639 3276 3393 3654 4524 5278 6786 7308 7917 10556 13572 15834 23751 31668 47502 95004