Search a number
-
+
106714530 = 23351330403
BaseRepresentation
bin1100101110001…
…01010110100010
321102210122211000
412113011112202
5204304331110
614331132430
72434026036
oct627052642
9242718730
10106714530
115526822a
122b8a4116
1319154ac0
141025c1c6
15957e1c0
hex65c55a2

106714530 has 64 divisors (see below), whose sum is σ = 306472320. Its totient is φ = 26267328.

The previous prime is 106714529. The next prime is 106714537. The reversal of 106714530 is 35417601.

It is a super-2 number, since 2×1067145302 = 22775981826241800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 106714494 and 106714503.

It is not an unprimeable number, because it can be changed into a prime (106714537) 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, 11692 + ... + 18711.

It is an arithmetic number, because the mean of its divisors is an integer number (4788630).

Almost surely, 2106714530 is an apocalyptic number.

106714530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106714530 is an abundant number, since it is smaller than the sum of its proper divisors (199757790).

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

106714530 is a wasteful number, since it uses less digits than its factorization.

106714530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30432 (or 30426 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 106714530 is about 10330.2725036661. The cubic root of 106714530 is about 474.3233653121.

The spelling of 106714530 in words is "one hundred six million, seven hundred fourteen thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 30403 60806 91209 152015 182418 273627 304030 395239 456045 547254 790478 820881 912090 1185717 1368135 1641762 1976195 2371434 2736270 3557151 3952390 4104405 5928585 7114302 8208810 10671453 11857170 17785755 21342906 35571510 53357265 106714530