Search a number
-
+
161215920 = 243558293
BaseRepresentation
bin10011001101111…
…11010110110000
3102020100121200000
421212333112300
5312232402140
623555230000
73665212155
oct1146772660
9366317600
10161215920
11830029a8
1245ba8300
1327528048
14175a822c
15e247a30
hex99bf5b0

161215920 has 120 divisors (see below), whose sum is σ = 561536976. Its totient is φ = 42985728.

The previous prime is 161215891. The next prime is 161215933. The reversal of 161215920 is 29512161.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1612159202 = 51981145722892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15294 + ... + 23586.

Almost surely, 2161215920 is an apocalyptic number.

161215920 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 161215920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280768488).

161215920 is an abundant number, since it is smaller than the sum of its proper divisors (400321056).

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

161215920 is an equidigital number, since it uses as much as digits as its factorization.

161215920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8321 (or 8303 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 161215920 is about 12697.0831296011. The cubic root of 161215920 is about 544.2552687504.

The spelling of 161215920 in words is "one hundred sixty-one million, two hundred fifteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 8293 9720 16586 19440 24879 33172 41465 49758 66344 74637 82930 99516 124395 132688 149274 165860 199032 223911 248790 298548 331720 373185 398064 447822 497580 597096 663440 671733 746370 895644 995160 1119555 1194192 1343466 1492740 1791288 1990320 2015199 2239110 2686932 2985480 3358665 3582576 4030398 4478220 5373864 5970960 6717330 8060796 8956440 10075995 10747728 13434660 16121592 17912880 20151990 26869320 32243184 40303980 53738640 80607960 161215920