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171661490 = 257112131559
BaseRepresentation
bin10100011101101…
…01100010110010
3102222000022021222
422032311202302
5322421131430
625011145042
74153045550
oct1216654262
9388008258
10171661490
1188997900
12495a5182
1329744660
1418b26bd0
151010c9e5
hexa3b58b2

171661490 has 96 divisors (see below), whose sum is σ = 418279680. Its totient is φ = 49357440.

The previous prime is 171661459. The next prime is 171661493. The reversal of 171661490 is 94166171.

171661490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 171661490.

It is not an unprimeable number, because it can be changed into a prime (171661493) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109331 + ... + 110889.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2171661490 is an apocalyptic number.

171661490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

171661490 is an abundant number, since it is smaller than the sum of its proper divisors (246618190).

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

171661490 is a wasteful number, since it uses less digits than its factorization.

171661490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 171661490 is about 13101.9651197826. The cubic root of 171661490 is about 555.7647008254.

The spelling of 171661490 in words is "one hundred seventy-one million, six hundred sixty-one thousand, four hundred ninety".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 121 130 143 154 182 242 286 385 455 605 715 770 847 910 1001 1210 1430 1559 1573 1694 2002 3118 3146 4235 5005 7795 7865 8470 10010 10913 11011 15590 15730 17149 20267 21826 22022 34298 40534 54565 55055 85745 101335 109130 110110 120043 141869 171490 188639 202670 222937 240086 283738 377278 445874 600215 709345 943195 1114685 1200430 1320473 1418690 1560559 1886390 2229370 2452307 2640946 3121118 4904614 6602365 7802795 12261535 13204730 15605590 17166149 24523070 34332298 85830745 171661490