Search a number
-
+
1201320414 = 232719947911
BaseRepresentation
bin100011110011010…
…1011000111011110
310002201111101210200
41013212223013132
54430014223124
6315112244330
741525024610
oct10746530736
93081441720
101201320414
11567128898
122963a06a6
13161b674a8
14b5794db0
15706ebbc9
hex479ab1de

1201320414 has 48 divisors (see below), whose sum is σ = 2989708800. Its totient is φ = 341502480.

The previous prime is 1201320409. The next prime is 1201320431. The reversal of 1201320414 is 4140231021.

1201320414 is a `hidden beast` number, since 120 + 132 + 0 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1119 + ... + 49029.

It is an arithmetic number, because the mean of its divisors is an integer number (62285600).

Almost surely, 21201320414 is an apocalyptic number.

1201320414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201320414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494854400).

1201320414 is an abundant number, since it is smaller than the sum of its proper divisors (1788388386).

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

1201320414 is a wasteful number, since it uses less digits than its factorization.

1201320414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48125 (or 48122 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1201320414 is about 34660.0694459777. The cubic root of 1201320414 is about 1063.0481899929.

Adding to 1201320414 its reverse (4140231021), we get a palindrome (5341551435).

The spelling of 1201320414 in words is "one billion, two hundred one million, three hundred twenty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 199 398 597 1194 1393 1791 2786 3582 4179 8358 12537 25074 47911 95822 143733 287466 335377 431199 670754 862398 1006131 2012262 3018393 6036786 9534289 19068578 28602867 57205734 66740023 85808601 133480046 171617202 200220069 400440138 600660207 1201320414