Search a number
-
+
1197772032 = 2834138039
BaseRepresentation
bin100011101100100…
…1000110100000000
310002110211010100010
41013121020310000
54423112201112
6314504224520
741452615512
oct10731106400
93073733303
101197772032
11565124946
1229516b140
131611c4362
14b510dbb2
157024a63c
hex47648d00

1197772032 has 72 divisors (see below), whose sum is σ = 3265657920. Its totient is φ = 389509120.

The previous prime is 1197772021. The next prime is 1197772049. The reversal of 1197772032 is 2302777911.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 12469 + ... + 50507.

It is an arithmetic number, because the mean of its divisors is an integer number (45356360).

Almost surely, 21197772032 is an apocalyptic number.

1197772032 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 1197772032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632828960).

1197772032 is an abundant number, since it is smaller than the sum of its proper divisors (2067885888).

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

1197772032 is an equidigital number, since it uses as much as digits as its factorization.

1197772032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38099 (or 38085 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 39.

The square root of 1197772032 is about 34608.8432629581. The cubic root of 1197772032 is about 1062.0005036155. Note that the first 3 decimals are identical.

The spelling of 1197772032 in words is "one billion, one hundred ninety-seven million, seven hundred seventy-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 656 768 984 1312 1968 2624 3936 5248 7872 10496 15744 31488 38039 76078 114117 152156 228234 304312 456468 608624 912936 1217248 1559599 1825872 2434496 3119198 3651744 4678797 4868992 6238396 7303488 9357594 9737984 12476792 14606976 18715188 24953584 29213952 37430376 49907168 74860752 99814336 149721504 199628672 299443008 399257344 598886016 1197772032