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107173248 = 2737133067
BaseRepresentation
bin1100110001101…
…01010110000000
321110122222001120
412120311112000
5204414020443
614345032240
72440646310
oct630652600
9243588046
10107173248
1155550936
122ba85680
1319285830
141033b440
159620083
hex6635580

107173248 has 128 divisors (see below), whose sum is σ = 350488320. Its totient is φ = 28256256.

The previous prime is 107173211. The next prime is 107173249. The reversal of 107173248 is 842371701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1071732482 = 22972210173739008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107173249) 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 15 ways as a sum of consecutive naturals, for example, 33411 + ... + 36477.

It is an arithmetic number, because the mean of its divisors is an integer number (2738190).

Almost surely, 2107173248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107173248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175244160).

107173248 is an abundant number, since it is smaller than the sum of its proper divisors (243315072).

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

107173248 is a wasteful number, since it uses less digits than its factorization.

107173248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3104 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 107173248 is about 10352.4513039183. The cubic root of 107173248 is about 475.0020284309.

The spelling of 107173248 in words is "one hundred seven million, one hundred seventy-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 3067 4368 4992 5824 6134 8736 9201 11648 12268 17472 18402 21469 24536 34944 36804 39871 42938 49072 64407 73608 79742 85876 98144 119613 128814 147216 159484 171752 196288 239226 257628 279097 294432 318968 343504 392576 478452 515256 558194 588864 637936 687008 837291 956904 1030512 1116388 1177728 1275872 1374016 1674582 1913808 2061024 2232776 2551744 2748032 3349164 3827616 4122048 4465552 5103488 6698328 7655232 8244096 8931104 13396656 15310464 17862208 26793312 35724416 53586624 107173248