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106714512 = 24323720029
BaseRepresentation
bin1100101110001…
…01010110010000
321102210122210100
412113011112100
5204304331022
614331132400
72434026012
oct627052620
9242718710
10106714512
1155268213
122b8a4100
1319154aa8
141025c1b2
15957e1ac
hex65c5590

106714512 has 60 divisors (see below), whose sum is σ = 306739420. Its totient is φ = 34608384.

The previous prime is 106714499. The next prime is 106714529. The reversal of 106714512 is 215417601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 64256256 + 42458256 = 8016^2 + 6516^2 .

It is a super-2 number, since 2×1067145122 = 22775974142796288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4687 + ... + 15342.

Almost surely, 2106714512 is an apocalyptic number.

106714512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106714512 is an abundant number, since it is smaller than the sum of its proper divisors (200024908).

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

106714512 is a wasteful number, since it uses less digits than its factorization.

106714512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20080 (or 20071 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 106714512 is about 10330.2716324403. The cubic root of 106714512 is about 474.3233386434.

The spelling of 106714512 in words is "one hundred six million, seven hundred fourteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 20029 40058 60087 80116 120174 160232 180261 240348 320464 360522 480696 721044 741073 961392 1442088 1482146 2223219 2884176 2964292 4446438 5928584 6669657 8892876 11857168 13339314 17785752 26678628 35571504 53357256 106714512