Search a number
-
+
161218560 = 2183541
BaseRepresentation
bin10011001110000…
…00000000000000
3102020100202021210
421213000000000
5312232443220
623555250120
73665222646
oct1147000000
9366322253
10161218560
1183004988
1245ba9940
13275292c9
14175a9196
15e2486e0
hex99c0000

161218560 has 152 divisors (see below), whose sum is σ = 528481296. Its totient is φ = 41943040.

The previous prime is 161218489. The next prime is 161218609. The reversal of 161218560 is 65812161.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3932140 + ... + 3932180.

Almost surely, 2161218560 is an apocalyptic number.

161218560 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 161218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264240648).

161218560 is an abundant number, since it is smaller than the sum of its proper divisors (367262736).

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

161218560 is an frugal number, since it uses more digits than its factorization.

161218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 161218560 is about 12697.1870900605. The cubic root of 161218560 is about 544.2582395614.

The spelling of 161218560 in words is "one hundred sixty-one million, two hundred eighteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 256 320 328 384 410 480 492 512 615 640 656 768 820 960 984 1024 1230 1280 1312 1536 1640 1920 1968 2048 2460 2560 2624 3072 3280 3840 3936 4096 4920 5120 5248 6144 6560 7680 7872 8192 9840 10240 10496 12288 13120 15360 15744 16384 19680 20480 20992 24576 26240 30720 31488 32768 39360 40960 41984 49152 52480 61440 62976 65536 78720 81920 83968 98304 104960 122880 125952 131072 157440 163840 167936 196608 209920 245760 251904 262144 314880 327680 335872 393216 419840 491520 503808 629760 655360 671744 786432 839680 983040 1007616 1259520 1310720 1343488 1679360 1966080 2015232 2519040 2686976 3358720 3932160 4030464 5038080 5373952 6717440 8060928 10076160 10747904 13434880 16121856 20152320 26869760 32243712 40304640 53739520 80609280 161218560