Search a number
-
+
1601220736 = 27532331013
BaseRepresentation
bin101111101110000…
…1011000010000000
311010120222102220201
41133130023002000
511234403030421
6422515414544
754452103013
oct13734130200
94116872821
101601220736
11751935925
123882b4454
131c69725bb
1411293137a
1595890b91
hex5f70b080

1601220736 has 64 divisors (see below), whose sum is σ = 3267290520. Its totient is φ = 781361152.

The previous prime is 1601220707. The next prime is 1601220737. The reversal of 1601220736 is 6370221061.

It can be written as a sum of positive squares in 4 ways, for example, as 764854336 + 836366400 = 27656^2 + 28920^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1601220737) 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 7 ways as a sum of consecutive naturals, for example, 1580166 + ... + 1581178.

Almost surely, 21601220736 is an apocalyptic number.

1601220736 is a gapful number since it is divisible by the number (16) 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 1601220736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633645260).

1601220736 is an abundant number, since it is smaller than the sum of its proper divisors (1666069784).

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

1601220736 is a wasteful number, since it uses less digits than its factorization.

1601220736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 1601220736 is about 40015.2562905700. The cubic root of 1601220736 is about 1169.9044741450.

Adding to 1601220736 its reverse (6370221061), we get a palindrome (7971441797).

The spelling of 1601220736 in words is "one billion, six hundred one million, two hundred twenty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 233 424 466 848 932 1013 1696 1864 2026 3392 3728 4052 6784 7456 8104 12349 14912 16208 24698 29824 32416 49396 53689 64832 98792 107378 129664 197584 214756 236029 395168 429512 472058 790336 859024 944116 1580672 1718048 1888232 3436096 3776464 6872192 7552928 12509537 15105856 25019074 30211712 50038148 100076296 200152592 400305184 800610368 1601220736