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10147995 = 32511131983
BaseRepresentation
bin100110101101…
…100010011011
3201002120102200
4212231202123
510044213440
61001301243
7152153664
oct46554233
921076380
1010147995
115801380
123494823
132144040
1414c236b
15d56c30
hex9ad89b

10147995 has 96 divisors (see below), whose sum is σ = 22014720. Its totient is φ = 4250880.

The previous prime is 10147981. The next prime is 10148003. The reversal of 10147995 is 59974101.

It is not a de Polignac number, because 10147995 - 26 = 10147931 is a prime.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 122224 + ... + 122306.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 210147995 is an apocalyptic number.

10147995 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10147995 is an abundant number, since it is smaller than the sum of its proper divisors (11866725).

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

10147995 is a wasteful number, since it uses less digits than its factorization.

10147995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 10147995 is about 3185.5917817574. The cubic root of 10147995 is about 216.5010871694.

It can be divided in two parts, 1014 and 7995, that added together give a palindrome (9009).

The spelling of 10147995 in words is "ten million, one hundred forty-seven thousand, nine hundred ninety-five".

Divisors: 1 3 5 9 11 13 15 19 33 39 45 55 57 65 83 95 99 117 143 165 171 195 209 247 249 285 415 429 495 585 627 715 741 747 855 913 1045 1079 1235 1245 1287 1577 1881 2145 2223 2717 2739 3135 3237 3705 3735 4565 4731 5395 6435 7885 8151 8217 9405 9711 11115 11869 13585 13695 14193 16185 17347 20501 23655 24453 35607 40755 41085 48555 52041 59345 61503 70965 86735 102505 106821 122265 156123 178035 184509 225511 260205 307515 534105 676533 780615 922545 1127555 2029599 3382665 10147995