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95010006 = 23713374703
BaseRepresentation
bin1011010100110…
…11110011010110
320121210000020010
411222123303112
5143310310011
613232221050
72232400050
oct552336326
9217700203
1095010006
11496a3473
122799a786
13168b7450
14c8928d0
15851b1a6
hex5a9bcd6

95010006 has 64 divisors (see below), whose sum is σ = 240242688. Its totient is φ = 24375168.

The previous prime is 95009989. The next prime is 95010023. The reversal of 95010006 is 60001059.

It is an interprime number because it is at equal distance from previous prime (95009989) and next prime (95010023).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17851 + ... + 22553.

It is an arithmetic number, because the mean of its divisors is an integer number (3753792).

Almost surely, 295010006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95010006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120121344).

95010006 is an abundant number, since it is smaller than the sum of its proper divisors (145232682).

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

95010006 is a wasteful number, since it uses less digits than its factorization.

95010006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4765.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 95010006 is about 9747.3076282633. The cubic root of 95010006 is about 456.3062827671.

The spelling of 95010006 in words is "ninety-five million, ten thousand, six".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 777 962 1443 1554 2886 3367 4703 6734 9406 10101 14109 20202 28218 32921 61139 65842 98763 122278 174011 183417 197526 348022 366834 427973 522033 855946 1044066 1218077 1283919 2262143 2436154 2567838 3654231 4524286 6786429 7308462 13572858 15835001 31670002 47505003 95010006