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2137980 = 2235132741
BaseRepresentation
bin1000001001111101111100
311000121202110
420021331330
51021403410
6113454020
724113115
oct10117574
94017673
102137980
111230329
12871310
1359b1a0
143d920c
152c3720
hex209f7c

2137980 has 48 divisors (see below), whose sum is σ = 6449184. Its totient is φ = 526080.

The previous prime is 2137979. The next prime is 2137981. The reversal of 2137980 is 897312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2137979) and next prime (2137981).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137981) 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, 591 + ... + 2150.

It is an arithmetic number, because the mean of its divisors is an integer number (134358).

22137980 is an apocalyptic number.

2137980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137980 is an abundant number, since it is smaller than the sum of its proper divisors (4311204).

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

2137980 is a wasteful number, since it uses less digits than its factorization.

2137980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 2137980 is about 1462.1832990429. The cubic root of 2137980 is about 128.8253149064.

The spelling of 2137980 in words is "two million, one hundred thirty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 2741 5482 8223 10964 13705 16446 27410 32892 35633 41115 54820 71266 82230 106899 142532 164460 178165 213798 356330 427596 534495 712660 1068990 2137980