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99972015 = 351121319223
BaseRepresentation
bin1011111010101…
…11001110101111
320222010002211020
411331113032233
5201043101030
613530425223
72322514413
oct575271657
9228102736
1099972015
1151482500
1229592213
1317933b50
14d3c4d43
158b9b510
hex5f573af

99972015 has 96 divisors (see below), whose sum is σ = 200202240. Its totient is φ = 42197760.

The previous prime is 99972013. The next prime is 99972043. The reversal of 99972015 is 51027999.

It is not a de Polignac number, because 99972015 - 21 = 99972013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99972013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 448194 + ... + 448416.

It is an arithmetic number, because the mean of its divisors is an integer number (2085440).

Almost surely, 299972015 is an apocalyptic number.

99972015 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

99972015 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

99972015 is a wasteful number, since it uses less digits than its factorization.

99972015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 42.

The square root of 99972015 is about 9998.6006520913. The cubic root of 99972015 is about 464.1155810338.

Subtracting from 99972015 its reverse (51027999), we obtain a square (48944016 = 69962).

The spelling of 99972015 in words is "ninety-nine million, nine hundred seventy-two thousand, fifteen".

Divisors: 1 3 5 11 13 15 19 33 39 55 57 65 95 121 143 165 195 209 223 247 285 363 429 605 627 669 715 741 1045 1115 1235 1573 1815 2145 2299 2453 2717 2899 3135 3345 3705 4237 4719 6897 7359 7865 8151 8697 11495 12265 12711 13585 14495 21185 23595 26983 29887 31889 34485 36795 40755 43485 46607 55081 63555 80949 89661 95667 134915 139821 149435 159445 165243 233035 275405 350779 404745 448305 478335 512677 605891 699105 826215 1052337 1538031 1753895 1817673 2563385 3029455 5261685 6664801 7690155 9088365 19994403 33324005 99972015