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1960488 = 233273373
BaseRepresentation
bin111011110101000101000
310200121021200
413132220220
51000213423
6110004200
722443465
oct7365050
93617250
101960488
111119a42
127a6660
1353846a
1439066c
1528ad43
hex1dea28

1960488 has 48 divisors (see below), whose sum is σ = 5396820. Its totient is φ = 642816.

The previous prime is 1960481. The next prime is 1960493. The reversal of 1960488 is 8840691.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1954404 + 6084 = 1398^2 + 78^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1960481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5070 + ... + 5442.

21960488 is an apocalyptic number.

1960488 is a gapful number since it is divisible by the number (18) 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 1960488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698410).

1960488 is an abundant number, since it is smaller than the sum of its proper divisors (3436332).

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

1960488 is a wasteful number, since it uses less digits than its factorization.

1960488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1960488 is about 1400.1742748672. The cubic root of 1960488 is about 125.1568803594.

The spelling of 1960488 in words is "one million, nine hundred sixty thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 373 438 584 657 746 876 1119 1314 1492 1752 2238 2628 2984 3357 4476 5256 6714 8952 13428 26856 27229 54458 81687 108916 163374 217832 245061 326748 490122 653496 980244 1960488