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106941744 = 24327138161
BaseRepresentation
bin1100101111111…
…00110100110000
321110020012111100
412113330310300
5204334113434
614340044400
72435663340
oct627746460
9243205440
10106941744
1155402a08
122b993700
1319204350
14102bad20
1595c6699
hex65fcd30

106941744 has 120 divisors (see below), whose sum is σ = 368400032. Its totient is φ = 28200960.

The previous prime is 106941739. The next prime is 106941773. The reversal of 106941744 is 447149601.

It is a super-2 number, since 2×1069417442 = 22873073219523072, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106941699 and 106941708.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9024 + ... + 17184.

Almost surely, 2106941744 is an apocalyptic number.

106941744 is a gapful number since it is divisible by the number (14) 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 106941744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184200016).

106941744 is an abundant number, since it is smaller than the sum of its proper divisors (261458288).

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

106941744 is a wasteful number, since it uses less digits than its factorization.

106941744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8195 (or 8186 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 106941744 is about 10341.2641393594. The cubic root of 106941744 is about 474.6597659576.

The spelling of 106941744 in words is "one hundred six million, nine hundred forty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 8161 13104 16322 24483 32644 48966 57127 65288 73449 97932 106093 114254 130576 146898 171381 195864 212186 228508 293796 318279 342762 391728 424372 457016 514143 587592 636558 685524 742651 848744 914032 954837 1028286 1175184 1273116 1371048 1485302 1697488 1909674 2056572 2227953 2546232 2742096 2970604 3819348 4113144 4455906 5092464 5941208 6683859 7638696 8226288 8911812 11882416 13367718 15277392 17823624 26735436 35647248 53470872 106941744