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173213920 = 25511223389
BaseRepresentation
bin10100101001100…
…00100011100000
3110001221011211101
422110300203200
5323320321140
625104324144
74202202565
oct1224604340
9401834741
10173213920
1189858200
124a013654
1329b69159
141900c86c
151031799a
hexa5308e0

173213920 has 144 divisors (see below), whose sum is σ = 470564640. Its totient is φ = 60093440.

The previous prime is 173213893. The next prime is 173213921. The reversal of 173213920 is 29312371.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (173213921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 445086 + ... + 445474.

It is an arithmetic number, because the mean of its divisors is an integer number (3267810).

Almost surely, 2173213920 is an apocalyptic number.

173213920 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 173213920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235282320).

173213920 is an abundant number, since it is smaller than the sum of its proper divisors (297350720).

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

173213920 is a wasteful number, since it uses less digits than its factorization.

173213920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 173213920 is about 13161.0759438581. The cubic root of 173213920 is about 557.4350383798.

The spelling of 173213920 in words is "one hundred seventy-three million, two hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 110 115 121 160 176 184 220 230 242 253 352 368 389 440 460 484 506 605 736 778 880 920 968 1012 1210 1265 1556 1760 1840 1936 1945 2024 2420 2530 2783 3112 3680 3872 3890 4048 4279 4840 5060 5566 6224 7780 8096 8558 8947 9680 10120 11132 12448 13915 15560 17116 17894 19360 20240 21395 22264 27830 31120 34232 35788 40480 42790 44528 44735 47069 55660 62240 68464 71576 85580 89056 89470 94138 98417 111320 136928 143152 171160 178940 188276 196834 222640 235345 286304 342320 357880 376552 393668 445280 470690 492085 684640 715760 753104 787336 941380 984170 1082587 1431520 1506208 1574672 1882760 1968340 2165174 3149344 3765520 3936680 4330348 5412935 7531040 7873360 8660696 10825870 15746720 17321392 21651740 34642784 43303480 86606960 173213920