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1960240 = 245107229
BaseRepresentation
bin111011110100100110000
310200120221111
413132210300
51000211430
6110003104
722442662
oct7364460
93616844
101960240
111119837
127a6494
13538309
14390532
1528ac2a
hex1de930

1960240 has 40 divisors (see below), whose sum is σ = 4620240. Its totient is φ = 773376.

The previous prime is 1960237. The next prime is 1960247. The reversal of 1960240 is 420691.

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

It is not an unprimeable number, because it can be changed into a prime (1960247) 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 7 ways as a sum of consecutive naturals, for example, 8446 + ... + 8674.

It is an arithmetic number, because the mean of its divisors is an integer number (115506).

21960240 is an apocalyptic number.

1960240 is a gapful number since it is divisible by the number (10) 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 1960240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310120).

1960240 is an abundant number, since it is smaller than the sum of its proper divisors (2660000).

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

1960240 is a wasteful number, since it uses less digits than its factorization.

1960240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 1960240 is about 1400.0857116620. The cubic root of 1960240 is about 125.1516027252.

The spelling of 1960240 in words is "one million, nine hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 229 428 458 535 856 916 1070 1145 1712 1832 2140 2290 3664 4280 4580 8560 9160 18320 24503 49006 98012 122515 196024 245030 392048 490060 980120 1960240