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1939095040 = 2952332933
BaseRepresentation
bin111001110010100…
…0011111000000000
312000010202020022211
41303211003320000
512432402020130
6520225311504
766024015211
oct16345037000
95003666284
101939095040
11905628893
12461495594
1324b97151c
14145763408
15b5381a2a
hex73943e00

1939095040 has 80 divisors (see below), whose sum is σ = 4851573408. Its totient is φ = 741892096.

The previous prime is 1939095013. The next prime is 1939095071. The reversal of 1939095040 is 405909391.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1939094984 and 1939095002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42414 + ... + 75346.

Almost surely, 21939095040 is an apocalyptic number.

1939095040 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 1939095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425786704).

1939095040 is an abundant number, since it is smaller than the sum of its proper divisors (2912478368).

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

1939095040 is an equidigital number, since it uses as much as digits as its factorization.

1939095040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32979 (or 32963 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 40.

The square root of 1939095040 is about 44035.1568635789. The cubic root of 1939095040 is about 1246.9997464108. Note that the first 3 decimals are identical.

The spelling of 1939095040 in words is "one billion, nine hundred thirty-nine million, ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 512 640 736 920 1280 1472 1840 2560 2944 3680 5888 7360 11776 14720 29440 32933 58880 65866 131732 164665 263464 329330 526928 658660 757459 1053856 1317320 1514918 2107712 2634640 3029836 3787295 4215424 5269280 6059672 7574590 8430848 10538560 12119344 15149180 16861696 21077120 24238688 30298360 42154240 48477376 60596720 84308480 96954752 121193440 193909504 242386880 387819008 484773760 969547520 1939095040