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1940319840 = 25354042333
BaseRepresentation
bin111001110100110…
…1110111001100000
312000020001110102210
41303221232321200
512433210213330
6520311442120
766040306104
oct16351567140
95006043383
101940319840
11906295018
12461986340
1324bcacb64
141459a1904
15b55248b0
hex73a6ee60

1940319840 has 48 divisors (see below), whose sum is σ = 6112009008. Its totient is φ = 517418496.

The previous prime is 1940319833. The next prime is 1940319841. The reversal of 1940319840 is 489130491.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1940319841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2020687 + ... + 2021646.

It is an arithmetic number, because the mean of its divisors is an integer number (127333521).

Almost surely, 21940319840 is an apocalyptic number.

1940319840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1940319840 is an abundant number, since it is smaller than the sum of its proper divisors (4171689168).

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

1940319840 is a wasteful number, since it uses less digits than its factorization.

1940319840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042351 (or 4042343 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 1940319840 is about 44049.0617380212. The cubic root of 1940319840 is about 1247.2622406500.

The spelling of 1940319840 in words is "one billion, nine hundred forty million, three hundred nineteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4042333 8084666 12126999 16169332 20211665 24253998 32338664 40423330 48507996 60634995 64677328 80846660 97015992 121269990 129354656 161693320 194031984 242539980 323386640 388063968 485079960 646773280 970159920 1940319840