Search a number
-
+
1960640 = 26511557
BaseRepresentation
bin111011110101011000000
310200121111022
413132223000
51000220030
6110005012
722444103
oct7365300
93617438
101960640
11111a070
127a6768
13538556
1439073a
1528ade5
hex1deac0

1960640 has 56 divisors (see below), whose sum is σ = 5102352. Its totient is φ = 711680.

The previous prime is 1960639. The next prime is 1960643. The reversal of 1960640 is 460691.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1960643) 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, 3242 + ... + 3798.

21960640 is an apocalyptic number.

1960640 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 1960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551176).

1960640 is an abundant number, since it is smaller than the sum of its proper divisors (3141712).

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

1960640 is a wasteful number, since it uses less digits than its factorization.

1960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 1960640 is about 1400.2285527727. The cubic root of 1960640 is about 125.1601148184.

It can be divided in two parts, 1960 and 640, that multiplied together give a square (1254400 = 11202).

The spelling of 1960640 in words is "one million, nine hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 557 704 880 1114 1760 2228 2785 3520 4456 5570 6127 8912 11140 12254 17824 22280 24508 30635 35648 44560 49016 61270 89120 98032 122540 178240 196064 245080 392128 490160 980320 1960640