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1401171620 = 2251715726249
BaseRepresentation
bin101001110000100…
…0010111010100100
310121122112220010012
41103201002322210
510332144442440
6351011545352
746502522312
oct12341027244
93548486105
101401171620
11659a19a82
123312bb258
1319439bb44
14d41390b2
1583026e65
hex53842ea4

1401171620 has 48 divisors (see below), whose sum is σ = 3135510000. Its totient is φ = 524120064.

The previous prime is 1401171619. The next prime is 1401171623. The reversal of 1401171620 is 261711041.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17926756 + 1383244864 = 4234^2 + 37192^2 .

It is not an unprimeable number, because it can be changed into a prime (1401171623) 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 15 ways as a sum of consecutive naturals, for example, 40256 + ... + 66504.

It is an arithmetic number, because the mean of its divisors is an integer number (65323125).

Almost surely, 21401171620 is an apocalyptic number.

1401171620 is a gapful number since it is divisible by the number (10) 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 1401171620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567755000).

1401171620 is an abundant number, since it is smaller than the sum of its proper divisors (1734338380).

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

1401171620 is a wasteful number, since it uses less digits than its factorization.

1401171620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26432 (or 26430 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 1401171620 is about 37432.2270243169. The cubic root of 1401171620 is about 1119.0009213398. Note that the first 3 decimals are identical.

Adding to 1401171620 its reverse (261711041), we get a palindrome (1662882661).

The spelling of 1401171620 in words is "one billion, four hundred one million, one hundred seventy-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 157 170 314 340 628 785 1570 2669 3140 5338 10676 13345 26249 26690 52498 53380 104996 131245 262490 446233 524980 892466 1784932 2231165 4121093 4462330 8242186 8924660 16484372 20605465 41210930 70058581 82421860 140117162 280234324 350292905 700585810 1401171620