[go: up one dir, main page]

Search a number
-
+
2121480 = 233257183
BaseRepresentation
bin1000000101111100001000
310222210010100
420011330020
51020341410
6113245400
724014034
oct10057410
93883110
102121480
111219999
12863860
1359381a
143d31c4
152bd8c0
hex205f08

2121480 has 96 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 551040.

The previous prime is 2121479. The next prime is 2121503. The reversal of 2121480 is 841212.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 25519 + ... + 25601.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

22121480 is an apocalyptic number.

2121480 is a gapful number since it is divisible by the number (20) 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 2121480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

2121480 is an abundant number, since it is smaller than the sum of its proper divisors (4954680).

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

2121480 is a wasteful number, since it uses less digits than its factorization.

2121480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2121480 is about 1456.5301232724. The cubic root of 2121480 is about 128.4930527617.

Adding to 2121480 its reverse (841212), we get a palindrome (2962692).

It can be divided in two parts, 2121 and 480, that added together give a square (2601 = 512).

The spelling of 2121480 in words is "two million, one hundred twenty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 83 90 120 142 166 180 213 249 284 332 355 360 415 426 498 568 639 664 710 747 830 852 996 1065 1245 1278 1420 1494 1660 1704 1992 2130 2490 2556 2840 2988 3195 3320 3735 4260 4980 5112 5893 5976 6390 7470 8520 9960 11786 12780 14940 17679 23572 25560 29465 29880 35358 47144 53037 58930 70716 88395 106074 117860 141432 176790 212148 235720 265185 353580 424296 530370 707160 1060740 2121480