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171020720 = 24513164443
BaseRepresentation
bin10100011000110…
…01000110110000
3102220210202022202
422030121012300
5322240130340
624545322332
74144436453
oct1214310660
9386722282
10171020720
118859a442
12493363a8
132957bac0
14189db49a
1510032c15
hexa3191b0

171020720 has 40 divisors (see below), whose sum is σ = 428212176. Its totient is φ = 63145728.

The previous prime is 171020699. The next prime is 171020737. The reversal of 171020720 is 27020171.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 171020692 and 171020701.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 81182 + ... + 83261.

Almost surely, 2171020720 is an apocalyptic number.

171020720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

171020720 is an abundant number, since it is smaller than the sum of its proper divisors (257191456).

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

171020720 is a wasteful number, since it uses less digits than its factorization.

171020720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164469 (or 164463 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 171020720 is about 13077.4890556253. The cubic root of 171020720 is about 555.0723277759.

Adding to 171020720 its reverse (27020171), we get a palindrome (198040891).

The spelling of 171020720 in words is "one hundred seventy-one million, twenty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 164443 328886 657772 822215 1315544 1644430 2137759 2631088 3288860 4275518 6577720 8551036 10688795 13155440 17102072 21377590 34204144 42755180 85510360 171020720