Search a number
-
+
161671680 = 293352339
BaseRepresentation
bin10011010001011…
…10101000000000
3102021012202212000
421220232220000
5312341443210
624013104000
74002121002
oct1150565000
9367182760
10161671680
1183294365
1246188000
1327657621
1417686372
15e2d7ac0
hex9a2ea00

161671680 has 160 divisors (see below), whose sum is σ = 574516800. Its totient is φ = 43094016.

The previous prime is 161671673. The next prime is 161671687. The reversal of 161671680 is 86176161.

It is an interprime number because it is at equal distance from previous prime (161671673) and next prime (161671687).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1616716802 = 52275464228044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (161671687) 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, 67951 + ... + 70289.

It is an arithmetic number, because the mean of its divisors is an integer number (3590730).

Almost surely, 2161671680 is an apocalyptic number.

161671680 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 161671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287258400).

161671680 is an abundant number, since it is smaller than the sum of its proper divisors (412845120).

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

161671680 is an equidigital number, since it uses as much as digits as its factorization.

161671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2371 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 161671680 is about 12715.0178922407. The cubic root of 161671680 is about 544.7676590090.

The spelling of 161671680 in words is "one hundred sixty-one million, six hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2339 2560 2880 3456 3840 4320 4608 4678 5760 6912 7017 7680 8640 9356 11520 11695 13824 14034 17280 18712 21051 23040 23390 28068 34560 35085 37424 42102 46780 56136 63153 69120 70170 74848 84204 93560 105255 112272 126306 140340 149696 168408 187120 210510 224544 252612 280680 299392 315765 336816 374240 421020 449088 505224 561360 598784 631530 673632 748480 842040 898176 1010448 1122720 1197568 1263060 1347264 1496960 1684080 1796352 2020896 2245440 2526120 2694528 2993920 3368160 3592704 4041792 4490880 5052240 5389056 5987840 6736320 8083584 8981760 10104480 10778112 13472640 16167168 17963520 20208960 26945280 32334336 40417920 53890560 80835840 161671680