Search a number
-
+
1390482240 = 26357206917
BaseRepresentation
bin101001011100001…
…0001001101000000
310120220102211001020
41102320101031000
510321430412430
6345550505440
746312622040
oct12270211500
93526384036
101390482240
11653988984
12329805280
131920c8574
14d2955720
1582114b10
hex52e11340

1390482240 has 112 divisors (see below), whose sum is σ = 5045488512. Its totient is φ = 317822976.

The previous prime is 1390482229. The next prime is 1390482253. The reversal of 1390482240 is 422840931.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 96739 + ... + 110178.

Almost surely, 21390482240 is an apocalyptic number.

1390482240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1390482240 is an abundant number, since it is smaller than the sum of its proper divisors (3655006272).

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

1390482240 is a wasteful number, since it uses less digits than its factorization.

1390482240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206944 (or 206934 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1390482240 is about 37289.1705458837. The cubic root of 1390482240 is about 1116.1480771128.

The spelling of 1390482240 in words is "one billion, three hundred ninety million, four hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 206917 413834 620751 827668 1034585 1241502 1448419 1655336 2069170 2483004 2896838 3103755 3310672 4138340 4345257 4966008 5793676 6207510 6621344 7242095 8276680 8690514 9932016 11587352 12415020 13242688 14484190 16553360 17381028 19864032 21726285 23174704 24830040 28968380 33106720 34762056 39728064 43452570 46349408 49660080 57936760 66213440 69524112 86905140 92698816 99320160 115873520 139048224 173810280 198640320 231747040 278096448 347620560 463494080 695241120 1390482240