Search a number
-
+
171320796 = 223219412149
BaseRepresentation
bin10100011011000…
…10010111011100
3102221100222221200
422031202113130
5322324231141
624555555500
74150126353
oct1215422734
9387328850
10171320796
1188784939
124945bb90
132965556a
1418a7899a
1510091ab6
hexa3625dc

171320796 has 108 divisors (see below), whose sum is σ = 470379000. Its totient is φ = 52427520.

The previous prime is 171320783. The next prime is 171320819. The reversal of 171320796 is 697023171.

It is a happy number.

171320796 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 171320796.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1149730 + ... + 1149878.

Almost surely, 2171320796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171320796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235189500).

171320796 is an abundant number, since it is smaller than the sum of its proper divisors (299058204).

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

171320796 is a wasteful number, since it uses less digits than its factorization.

171320796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 171320796 is about 13088.9570249123. The cubic root of 171320796 is about 555.3967846799.

The spelling of 171320796 in words is "one hundred seventy-one million, three hundred twenty thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 41 57 76 82 114 123 149 164 171 228 246 298 342 369 447 492 596 684 738 779 894 1341 1476 1558 1681 1788 2337 2682 2831 3116 3362 4674 5043 5364 5662 6109 6724 7011 8493 9348 10086 11324 12218 14022 15129 16986 18327 20172 24436 25479 28044 30258 31939 33972 36654 50958 54981 60516 63878 73308 95817 101916 109962 116071 127756 191634 219924 232142 250469 287451 348213 383268 464284 500938 574902 696426 751407 1001876 1044639 1149804 1392852 1502814 2089278 2254221 3005628 4178556 4508442 4758911 9016884 9517822 14276733 19035644 28553466 42830199 57106932 85660398 171320796