[go: up one dir, main page]

Search a number
-
+
3971661120 = 26335797677
BaseRepresentation
bin1110110010111010…
…1011110101000000
3101020210101021211000
43230232223311000
531113221123440
61454034252000
7200264363640
oct35456536500
911223337730
103971661120
111758998869
1292a127000
134b3aab84b
14299698520
15183a28730
hexecbabd40

3971661120 has 448 divisors, whose sum is σ = 16201704960. Its totient is φ = 897122304.

The previous prime is 3971661107. The next prime is 3971661209. The reversal of 3971661120 is 211661793.

3971661120 is a `hidden beast` number, since 3 + 9 + 7 + 16 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5866222 + ... + 5866898.

It is an arithmetic number, because the mean of its divisors is an integer number (36164520).

Almost surely, 23971661120 is an apocalyptic number.

3971661120 is a gapful number since it is divisible by the number (30) 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 3971661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8100852480).

3971661120 is an abundant number, since it is smaller than the sum of its proper divisors (12230043840).

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

3971661120 is a wasteful number, since it uses less digits than its factorization.

3971661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 3971661120 is about 63021.1164610720. The cubic root of 3971661120 is about 1583.6433999831.

The spelling of 3971661120 in words is "three billion, nine hundred seventy-one million, six hundred sixty-one thousand, one hundred twenty".