Search a number
-
+
2141480 = 2351131157
BaseRepresentation
bin1000001010110100101000
311000210120002
420022310220
51022011410
6113522132
724126245
oct10126450
94023502
102141480
111232a20
12873348
1359c963
143da5cc
152c47a5
hex20ad28

2141480 has 64 divisors (see below), whose sum is σ = 5460480. Its totient is φ = 748800.

The previous prime is 2141467. The next prime is 2141497. The reversal of 2141480 is 841412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13562 + ... + 13718.

It is an arithmetic number, because the mean of its divisors is an integer number (85320).

22141480 is an apocalyptic number.

2141480 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 2141480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730240).

2141480 is an abundant number, since it is smaller than the sum of its proper divisors (3319000).

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

2141480 is a wasteful number, since it uses less digits than its factorization.

2141480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 2141480 is about 1463.3796499883. The cubic root of 2141480 is about 128.8955748062.

Adding to 2141480 its reverse (841412), we get a palindrome (2982892).

The spelling of 2141480 in words is "two million, one hundred forty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 157 220 248 310 314 341 440 620 628 682 785 1240 1256 1364 1570 1705 1727 2728 3140 3410 3454 4867 6280 6820 6908 8635 9734 13640 13816 17270 19468 24335 34540 38936 48670 53537 69080 97340 107074 194680 214148 267685 428296 535370 1070740 2141480