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114308172 = 22351110691
BaseRepresentation
bin1101101000000…
…11010001001100
321222002110100000
412310003101030
5213230330142
615202004300
72555413656
oct664032114
9258073300
10114308172
1159584470
1232346690
131a8b3294
14112776d6
15a07e14c
hex6d0344c

114308172 has 72 divisors (see below), whose sum is σ = 326918592. Its totient is φ = 34635600.

The previous prime is 114308171. The next prime is 114308189. The reversal of 114308172 is 271803411.

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

It is not an unprimeable number, because it can be changed into a prime (114308171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5347 + ... + 16037.

It is an arithmetic number, because the mean of its divisors is an integer number (4540536).

Almost surely, 2114308172 is an apocalyptic number.

114308172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 10691×10692.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114308172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163459296).

114308172 is an abundant number, since it is smaller than the sum of its proper divisors (212610420).

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

114308172 is a wasteful number, since it uses less digits than its factorization.

114308172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10721 (or 10707 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 114308172 is about 10691.4999883085. The cubic root of 114308172 is about 485.3172855677.

The spelling of 114308172 in words is "one hundred fourteen million, three hundred eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2673 3564 5346 10691 10692 21382 32073 42764 64146 96219 117601 128292 192438 235202 288657 352803 384876 470404 577314 705606 865971 1058409 1154628 1411212 1731942 2116818 2597913 3175227 3463884 4233636 5195826 6350454 9525681 10391652 12700908 19051362 28577043 38102724 57154086 114308172