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173407104 = 27321311579
BaseRepresentation
bin10100101010111…
…11101110000000
3110002021222211100
422111133232000
5323343011404
625112414400
74203636033
oct1225375600
9402258740
10173407104
118997a362
124a0a7400
1329c06070
141905d01a
1510354d39
hexa55fb80

173407104 has 96 divisors (see below), whose sum is σ = 537427800. Its totient is φ = 53351424.

The previous prime is 173407099. The next prime is 173407121. The reversal of 173407104 is 401704371.

173407104 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9187 + ... + 20765.

Almost surely, 2173407104 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 173407104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268713900).

173407104 is an abundant number, since it is smaller than the sum of its proper divisors (364020696).

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

173407104 is a wasteful number, since it uses less digits than its factorization.

173407104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11612 (or 11597 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 173407104 is about 13168.4131162415. The cubic root of 173407104 is about 557.6421955585.

The spelling of 173407104 in words is "one hundred seventy-three million, four hundred seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 11579 14976 23158 34737 46316 69474 92632 104211 138948 150527 185264 208422 277896 301054 370528 416844 451581 555792 602108 741056 833688 903162 1111584 1204216 1354743 1482112 1667376 1806324 2223168 2408432 2709486 3334752 3612648 4446336 4816864 5418972 6669504 7225296 9633728 10837944 13339008 14450592 19267456 21675888 28901184 43351776 57802368 86703552 173407104