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1980592542 = 2323131711197
BaseRepresentation
bin111011000001101…
…0111000110011110
312010000211112012100
41312003113012132
513024012430132
6524310545530
7100036521165
oct16603270636
95100745170
101980592542
11926aa1545
124733682a6
13257440866
1414b0863dc
15b8d2c37c
hex760d719e

1980592542 has 48 divisors (see below), whose sum is σ = 4444083072. Its totient is φ = 636828480.

The previous prime is 1980592541. The next prime is 1980592543. The reversal of 1980592542 is 2452950891.

It is a happy number.

1980592542 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 592 + 54 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1980592541) and next prime (1980592543).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1980592541) 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 23 ways as a sum of consecutive naturals, for example, 171288 + ... + 182484.

It is an arithmetic number, because the mean of its divisors is an integer number (92585064).

Almost surely, 21980592542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1980592542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222041536).

1980592542 is an abundant number, since it is smaller than the sum of its proper divisors (2463490530).

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

1980592542 is a wasteful number, since it uses less digits than its factorization.

1980592542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11553 (or 11550 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 1980592542 is about 44503.8486200913. The cubic root of 1980592542 is about 1255.8324856550.

The spelling of 1980592542 in words is "one billion, nine hundred eighty million, five hundred ninety-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 317 558 634 951 1902 2853 5706 9827 11197 19654 22394 29481 33591 58962 67182 88443 100773 176886 201546 347107 694214 1041321 2082642 3123963 3549449 6247926 7098898 10648347 21296694 31945041 63890082 110032919 220065838 330098757 660197514 990296271 1980592542