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170113920 = 2735412161
BaseRepresentation
bin10100010001110…
…11101110000000
3102212002200102120
422020323232000
5322022121140
624514044240
74133641644
oct1210735600
9385080376
10170113920
1188030119
1248b79680
1329322132
1418842c24
15ee041d0
hexa23bb80

170113920 has 128 divisors (see below), whose sum is σ = 555720480. Its totient is φ = 44236800.

The previous prime is 170113861. The next prime is 170113943. The reversal of 170113920 is 29311071.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77640 + ... + 79800.

Almost surely, 2170113920 is an apocalyptic number.

170113920 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 170113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277860240).

170113920 is an abundant number, since it is smaller than the sum of its proper divisors (385606560).

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

170113920 is a wasteful number, since it uses less digits than its factorization.

170113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 170113920 is about 13042.7727113524. The cubic root of 170113920 is about 554.0895388040.

Adding to 170113920 its reverse (29311071), we get a palindrome (199424991).

The spelling of 170113920 in words is "one hundred seventy million, one hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 320 328 384 410 480 492 615 640 656 820 960 984 1230 1312 1640 1920 1968 2161 2460 2624 3280 3936 4322 4920 5248 6483 6560 7872 8644 9840 10805 12966 13120 15744 17288 19680 21610 25932 26240 32415 34576 39360 43220 51864 64830 69152 78720 86440 88601 103728 129660 138304 172880 177202 207456 259320 265803 276608 345760 354404 414912 443005 518640 531606 691520 708808 829824 886010 1037280 1063212 1329015 1383040 1417616 1772020 2074560 2126424 2658030 2835232 3544040 4149120 4252848 5316060 5670464 7088080 8505696 10632120 11340928 14176160 17011392 21264240 28352320 34022784 42528480 56704640 85056960 170113920