Search a number
-
+
1978140000 = 2535432969
BaseRepresentation
bin111010111101000…
…0000010101100000
312002212012220221110
41311322000111200
513022400440000
6524142223320
7100006625004
oct16572002540
95085186843
101978140000
11925676951
12472584b40
13256a92455
1414aa08704
15b89e5850
hex75e80560

1978140000 has 120 divisors (see below), whose sum is σ = 6488891640. Its totient is φ = 527488000.

The previous prime is 1978139987. The next prime is 1978140007. The reversal of 1978140000 is 418791.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 1978140000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1978140007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 43516 + ... + 76484.

It is an arithmetic number, because the mean of its divisors is an integer number (54074097).

Almost surely, 21978140000 is an apocalyptic number.

1978140000 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 1978140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244445820).

1978140000 is an abundant number, since it is smaller than the sum of its proper divisors (4510751640).

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

1978140000 is an equidigital number, since it uses as much as digits as its factorization.

1978140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33002 (or 32979 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 1978140000 is about 44476.2858161515. The cubic root of 1978140000 is about 1255.3139112004.

Adding to 1978140000 its reverse (418791), we get a palindrome (1978558791).

The spelling of 1978140000 in words is "one billion, nine hundred seventy-eight million, one hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 32969 60000 65938 98907 131876 164845 197814 263752 329690 395628 494535 527504 659380 791256 824225 989070 1055008 1318760 1582512 1648450 1978140 2472675 2637520 3165024 3296900 3956280 4121125 4945350 5275040 6593800 7912560 8242250 9890700 12363375 13187600 15825120 16484500 19781400 20605625 24726750 26375200 32969000 39562800 41211250 49453500 61816875 65938000 79125600 82422500 98907000 123633750 131876000 164845000 197814000 247267500 329690000 395628000 494535000 659380000 989070000 1978140000