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1982960 = 24573541
BaseRepresentation
bin111100100000111110000
310201202002222
413210013300
51001423320
6110300212
722566140
oct7440760
93652088
101982960
111134911
127b7668
13545765
14398920
15292825
hex1e41f0

1982960 has 40 divisors (see below), whose sum is σ = 5270496. Its totient is φ = 679680.

The previous prime is 1982957. The next prime is 1982969. The reversal of 1982960 is 692891.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1982960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1211 + ... + 2330.

21982960 is an apocalyptic number.

1982960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1982960 is an abundant number, since it is smaller than the sum of its proper divisors (3287536).

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

1982960 is a wasteful number, since it uses less digits than its factorization.

1982960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3561 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 1982960 is about 1408.1761253480. The cubic root of 1982960 is about 125.6332663719.

The spelling of 1982960 in words is "one million, nine hundred eighty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 3541 7082 14164 17705 24787 28328 35410 49574 56656 70820 99148 123935 141640 198296 247870 283280 396592 495740 991480 1982960