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1980002376 = 23321121729461
BaseRepresentation
bin111011000000100…
…0111000001001000
312002222201112122100
41312001013001020
513023340034001
6524250153400
7100031512452
oct16601070110
95088645570
101980002376
11926729100
12473122860
13257295051
1414ad712d2
15b8c62586
hex76047048

1980002376 has 288 divisors, whose sum is σ = 6470263800. Its totient is φ = 544051200.

The previous prime is 1980002329. The next prime is 1980002383. The reversal of 1980002376 is 6732000891.

It can be written as a sum of positive squares in 4 ways, for example, as 1778646276 + 201356100 = 42174^2 + 14190^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1980002376.

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 71 ways as a sum of consecutive naturals, for example, 4294786 + ... + 4295246.

Almost surely, 21980002376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1980002376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235131900).

1980002376 is an abundant number, since it is smaller than the sum of its proper divisors (4490261424).

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

1980002376 is a wasteful number, since it uses less digits than its factorization.

1980002376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1980002376 is about 44497.2176208805. The cubic root of 1980002376 is about 1255.7077379266.

The spelling of 1980002376 in words is "one billion, nine hundred eighty million, two thousand, three hundred seventy-six".