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173680540 = 225113792083
BaseRepresentation
bin10100101101000…
…10011110011100
3110002210212220121
422112202132130
5323430234130
625122324324
74206155155
oct1226423634
9402725817
10173680540
118a046840
124a1b96a4
1329ca0667
14190d092c
15103aad7a
hexa5a279c

173680540 has 48 divisors (see below), whose sum is σ = 399127680. Its totient is φ = 62959680.

The previous prime is 173680531. The next prime is 173680547. The reversal of 173680540 is 45086371.

173680540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 173680496 and 173680505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (173680547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82339 + ... + 84421.

It is an arithmetic number, because the mean of its divisors is an integer number (8315160).

Almost surely, 2173680540 is an apocalyptic number.

173680540 is a gapful number since it is divisible by the number (10) 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 173680540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199563840).

173680540 is an abundant number, since it is smaller than the sum of its proper divisors (225447140).

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

173680540 is a wasteful number, since it uses less digits than its factorization.

173680540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 173680540 is about 13178.7912951075. The cubic root of 173680540 is about 557.9351466017.

The spelling of 173680540 in words is "one hundred seventy-three million, six hundred eighty thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 379 758 1516 1895 2083 3790 4166 4169 7580 8332 8338 10415 16676 20830 20845 22913 41660 41690 45826 83380 91652 114565 229130 458260 789457 1578914 3157828 3947285 7894570 8684027 15789140 17368054 34736108 43420135 86840270 173680540