Search a number
-
+
171230080 = 2757371033
BaseRepresentation
bin10100011010011…
…00001110000000
3102221012101111211
422031030032000
5322313330310
624554015504
74146301030
oct1215141600
9387171454
10171230080
118872276a
1249417594
1329623198
1418a538c0
1510074c8a
hexa34c380

171230080 has 128 divisors (see below), whose sum is σ = 480934080. Its totient is φ = 57065472.

The previous prime is 171230077. The next prime is 171230083. The reversal of 171230080 is 80032171.

It is an interprime number because it is at equal distance from previous prime (171230077) and next prime (171230083).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171230083) 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, 165244 + ... + 166276.

Almost surely, 2171230080 is an apocalyptic number.

171230080 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 171230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240467040).

171230080 is an abundant number, since it is smaller than the sum of its proper divisors (309704000).

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

171230080 is a wasteful number, since it uses less digits than its factorization.

171230080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 171230080 is about 13085.4912020910. The cubic root of 171230080 is about 555.2987380693.

The spelling of 171230080 in words is "one hundred seventy-one million, two hundred thirty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 64 70 74 80 112 128 140 148 160 185 224 259 280 296 320 370 448 518 560 592 640 740 896 1033 1036 1120 1184 1295 1480 2066 2072 2240 2368 2590 2960 4132 4144 4480 4736 5165 5180 5920 7231 8264 8288 10330 10360 11840 14462 16528 16576 20660 20720 23680 28924 33056 33152 36155 38221 41320 41440 57848 66112 72310 76442 82640 82880 115696 132224 144620 152884 165280 165760 191105 231392 267547 289240 305768 330560 382210 462784 535094 578480 611536 661120 764420 925568 1070188 1156960 1223072 1337735 1528840 2140376 2313920 2446144 2675470 3057680 4280752 4627840 4892288 5350940 6115360 8561504 10701880 12230720 17123008 21403760 24461440 34246016 42807520 85615040 171230080