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95071620 = 22357415521
BaseRepresentation
bin1011010101010…
…10110110000100
320121220010202010
411222222312010
5143314242440
613233414220
72233044510
oct552526604
9217803663
1095071620
1149735796
1227a0a370
13169094c7
14c8ab140
15852e580
hex5aaad84

95071620 has 96 divisors (see below), whose sum is σ = 311705856. Its totient is φ = 21196800.

The previous prime is 95071619. The next prime is 95071621. The reversal of 95071620 is 2617059.

It is an interprime number because it is at equal distance from previous prime (95071619) and next prime (95071621).

It is a super-2 number, since 2×950716202 = 18077225858848800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (95071621) 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 31 ways as a sum of consecutive naturals, for example, 14460 + ... + 19980.

It is an arithmetic number, because the mean of its divisors is an integer number (3246936).

Almost surely, 295071620 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 95071620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155852928).

95071620 is an abundant number, since it is smaller than the sum of its proper divisors (216634236).

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

95071620 is a wasteful number, since it uses less digits than its factorization.

95071620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5581 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 95071620 is about 9750.4676810910. The cubic root of 95071620 is about 456.4048996784.

Adding to 95071620 its reverse (2617059), we get a palindrome (97688679).

The spelling of 95071620 in words is "ninety-five million, seventy-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 410 420 492 574 615 820 861 1148 1230 1435 1722 2460 2870 3444 4305 5521 5740 8610 11042 16563 17220 22084 27605 33126 38647 55210 66252 77294 82815 110420 115941 154588 165630 193235 226361 231882 331260 386470 452722 463764 579705 679083 772940 905444 1131805 1159410 1358166 1584527 2263610 2318820 2716332 3169054 3395415 4527220 4753581 6338108 6790830 7922635 9507162 13581660 15845270 19014324 23767905 31690540 47535810 95071620