Search a number
-
+
169147960 = 23517416067
BaseRepresentation
bin10100001010011…
…11111000111000
3102210021121101021
422011033320320
5321300213320
624441232224
74122506512
oct1205177070
9383247337
10169147960
1187530403
1248792674
1329074567
1418670bb2
15ecb2daa
hexa14fe38

169147960 has 64 divisors (see below), whose sum is σ = 412866720. Its totient is φ = 62115840.

The previous prime is 169147949. The next prime is 169147961. The reversal of 169147960 is 69741961.

It is a happy number.

169147960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1691479602 = 57222064744323200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (169147961) 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, 24847 + ... + 30913.

Almost surely, 2169147960 is an apocalyptic number.

169147960 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 169147960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206433360).

169147960 is an abundant number, since it is smaller than the sum of its proper divisors (243718760).

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

169147960 is a wasteful number, since it uses less digits than its factorization.

169147960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6136 (or 6132 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The square root of 169147960 is about 13005.6895242044. The cubic root of 169147960 is about 553.0387829273.

The spelling of 169147960 in words is "one hundred sixty-nine million, one hundred forty-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 82 85 136 164 170 205 328 340 410 680 697 820 1394 1640 2788 3485 5576 6067 6970 12134 13940 24268 27880 30335 48536 60670 103139 121340 206278 242680 248747 412556 497494 515695 825112 994988 1031390 1243735 1989976 2062780 2487470 4125560 4228699 4974940 8457398 9949880 16914796 21143495 33829592 42286990 84573980 169147960