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106848270 = 23251677109
BaseRepresentation
bin1100101111001…
…10000000001110
321110001110021100
412113212000032
5204323121040
614334043530
72435123664
oct627460016
9243043240
10106848270
1155349761
122b9495a6
13191a0939
1410294c34
1595a8b30
hex65e600e

106848270 has 48 divisors (see below), whose sum is σ = 279508320. Its totient is φ = 28318272.

The previous prime is 106848263. The next prime is 106848277. The reversal of 106848270 is 72848601.

106848270 is a `hidden beast` number, since 106 + 8 + 482 + 70 = 666.

It is an interprime number because it is at equal distance from previous prime (106848263) and next prime (106848277).

It is a super-2 number, since 2×1068482702 = 22833105603985800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106848277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11476 + ... + 18584.

It is an arithmetic number, because the mean of its divisors is an integer number (5823090).

Almost surely, 2106848270 is an apocalyptic number.

106848270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106848270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139754160).

106848270 is an abundant number, since it is smaller than the sum of its proper divisors (172660050).

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

106848270 is a wasteful number, since it uses less digits than its factorization.

106848270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7289 (or 7286 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 106848270 is about 10336.7436845459. The cubic root of 106848270 is about 474.5214312016.

The spelling of 106848270 in words is "one hundred six million, eight hundred forty-eight thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 167 334 501 835 1002 1503 1670 2505 3006 5010 7109 7515 14218 15030 21327 35545 42654 63981 71090 106635 127962 213270 319905 639810 1187203 2374406 3561609 5936015 7123218 10684827 11872030 17808045 21369654 35616090 53424135 106848270