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1981103232 = 2735699067
BaseRepresentation
bin111011000010101…
…0011110010000000
312010001210110201210
41312011103302000
513024130300412
6524325530120
7100044046113
oct16605236200
95101713653
101981103232
119273101a9
12473573940
1325758c144
1414b17a57a
15b8dcd83c
hex76153c80

1981103232 has 64 divisors (see below), whose sum is σ = 5272135200. Its totient is φ = 659134464.

The previous prime is 1981103221. The next prime is 1981103263. The reversal of 1981103232 is 2323011891.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1981103232.

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, 213963 + ... + 223029.

Almost surely, 21981103232 is an apocalyptic number.

1981103232 is a gapful number since it is divisible by the number (12) 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 1981103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636067600).

1981103232 is an abundant number, since it is smaller than the sum of its proper divisors (3291031968).

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

1981103232 is an equidigital number, since it uses as much as digits as its factorization.

1981103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9653 (or 9641 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1981103232 is about 44509.5858439505. The cubic root of 1981103232 is about 1255.9404139582.

The spelling of 1981103232 in words is "one billion, nine hundred eighty-one million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 569 1138 1707 2276 3414 4552 6828 9067 9104 13656 18134 18208 27201 27312 36268 36416 54402 54624 72536 72832 108804 109248 145072 217608 218496 290144 435216 580288 870432 1160576 1740864 3481728 5159123 10318246 15477369 20636492 30954738 41272984 61909476 82545968 123818952 165091936 247637904 330183872 495275808 660367744 990551616 1981103232