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108273672 = 23341312853
BaseRepresentation
bin1100111010000…
…10000000001000
321112201212120000
412131002000020
5210204224142
614424403000
72453211453
oct635020010
9245655500
10108273672
1156132681
1230316460
131957c680
141054649a
15978b14c
hex6742008

108273672 has 80 divisors (see below), whose sum is σ = 326620140. Its totient is φ = 33312384.

The previous prime is 108273667. The next prime is 108273677. The reversal of 108273672 is 276372801.

It is an interprime number because it is at equal distance from previous prime (108273667) and next prime (108273677).

It can be written as a sum of positive squares in 2 ways, for example, as 96943716 + 11329956 = 9846^2 + 3366^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (108273677) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1998 + ... + 14850.

Almost surely, 2108273672 is an apocalyptic number.

108273672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108273672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163310070).

108273672 is an abundant number, since it is smaller than the sum of its proper divisors (218346468).

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

108273672 is a wasteful number, since it uses less digits than its factorization.

108273672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12884 (or 12871 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 108273672 is about 10405.4635648778. The cubic root of 108273672 is about 476.6222237295.

The spelling of 108273672 in words is "one hundred eight million, two hundred seventy-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 12853 25706 38559 51412 77118 102824 115677 154236 167089 231354 308472 334178 347031 462708 501267 668356 694062 925416 1002534 1041093 1336712 1388124 1503801 2005068 2082186 2776248 3007602 4010136 4164372 4511403 6015204 8328744 9022806 12030408 13534209 18045612 27068418 36091224 54136836 108273672