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2142480 = 243579113
BaseRepresentation
bin1000001011000100010000
311000211221010
420023010100
51022024410
6113530520
724132204
oct10130420
94024833
102142480
11123374a
12873a40
135a0252
143dab04
152c4c20
hex20b110

2142480 has 80 divisors (see below), whose sum is σ = 6785280. Its totient is φ = 559104.

The previous prime is 2142463. The next prime is 2142499. The reversal of 2142480 is 842412.

It is a tau number, because it is divible by the number of its divisors (80).

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, 18904 + ... + 19016.

It is an arithmetic number, because the mean of its divisors is an integer number (84816).

22142480 is an apocalyptic number.

2142480 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 2142480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392640).

2142480 is an abundant number, since it is smaller than the sum of its proper divisors (4642800).

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

2142480 is a wasteful number, since it uses less digits than its factorization.

2142480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2142480 is about 1463.7212849446. The cubic root of 2142480 is about 128.9156350008.

Adding to 2142480 its reverse (842412), we get a palindrome (2984892).

The spelling of 2142480 in words is "two million, one hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 113 120 158 226 237 240 316 339 395 452 474 565 632 678 790 904 948 1130 1185 1264 1356 1580 1695 1808 1896 2260 2370 2712 3160 3390 3792 4520 4740 5424 6320 6780 8927 9040 9480 13560 17854 18960 26781 27120 35708 44635 53562 71416 89270 107124 133905 142832 178540 214248 267810 357080 428496 535620 714160 1071240 2142480