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161172968 = 231123141131
BaseRepresentation
bin10011001101101…
…00110111101000
3102020021102202012
421212310313220
5312230013333
623554255052
73664643015
oct1146646750
9366242665
10161172968
1182a83700
1245b87488
1327511628
141759670c
15e239e48
hex99b4de8

161172968 has 96 divisors (see below), whose sum is σ = 353928960. Its totient is φ = 68640000.

The previous prime is 161172967. The next prime is 161172997. The reversal of 161172968 is 869271161.

It is a super-2 number, since 2×1611729682 = 51953451227858048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

Its product of digits (36288) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161172961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1230263 + ... + 1230393.

It is an arithmetic number, because the mean of its divisors is an integer number (3686760).

Almost surely, 2161172968 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 161172968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176964480).

161172968 is an abundant number, since it is smaller than the sum of its proper divisors (192755992).

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

161172968 is a wasteful number, since it uses less digits than its factorization.

161172968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 216 counting only the distinct ones).

The product of its digits is 36288, while the sum is 41.

The square root of 161172968 is about 12695.3916048305. The cubic root of 161172968 is about 544.2069299993.

The spelling of 161172968 in words is "one hundred sixty-one million, one hundred seventy-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 22 31 41 44 62 82 88 121 124 131 164 242 248 262 328 341 451 484 524 682 902 968 1048 1271 1364 1441 1804 2542 2728 2882 3608 3751 4061 4961 5084 5371 5764 7502 8122 9922 10168 10742 11528 13981 15004 15851 16244 19844 21484 27962 30008 31702 32488 39688 42968 44671 55924 59081 63404 89342 111848 118162 126808 153791 166501 178684 236324 307582 333002 357368 472648 491381 615164 649891 666004 982762 1230328 1299782 1332008 1831511 1965524 2599564 3663022 3931048 5199128 7326044 14652088 20146621 40293242 80586484 161172968