Search a number
-
+
1401201024 = 27335310337
BaseRepresentation
bin101001110000100…
…1010000110000000
310121122121101110020
41103201022012000
510332201413044
6351012333440
746503004116
oct12341120600
93548541406
101401201024
11659a3a083
12331314280
131943ac342
14d4145ab6
1583030a19
hex5384a180

1401201024 has 64 divisors (see below), whose sum is σ = 3732845040. Its totient is φ = 465698816.

The previous prime is 1401201007. The next prime is 1401201029. The reversal of 1401201024 is 4201021041.

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

It is a junction number, because it is equal to n+sod(n) for n = 1401200994 and 1401201012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401201029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130384 + ... + 140720.

Almost surely, 21401201024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866422520).

1401201024 is an abundant number, since it is smaller than the sum of its proper divisors (2331644016).

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

1401201024 is a wasteful number, since it uses less digits than its factorization.

1401201024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10707 (or 10695 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1401201024 is about 37432.6197854224. The cubic root of 1401201024 is about 1119.0087488065.

Adding to 1401201024 its reverse (4201021041), we get a palindrome (5602222065).

The spelling of 1401201024 in words is "one billion, four hundred one million, two hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 353 384 706 1059 1412 2118 2824 4236 5648 8472 10337 11296 16944 20674 22592 31011 33888 41348 45184 62022 67776 82696 124044 135552 165392 248088 330784 496176 661568 992352 1323136 1984704 3648961 3969408 7297922 10946883 14595844 21893766 29191688 43787532 58383376 87575064 116766752 175150128 233533504 350300256 467067008 700600512 1401201024