Search a number
-
+
1201311384 = 233713563977
BaseRepresentation
bin100011110011010…
…1000111010011000
310002201110221102020
41013212220322120
54430013431014
6315112134440
741524656360
oct10746507230
93081427366
101201311384
11567122029
12296397420
13161b63350
14b57919a0
15706e91a9
hex479a8e98

1201311384 has 128 divisors (see below), whose sum is σ = 3706698240. Its totient is φ = 315942912.

The previous prime is 1201311383. The next prime is 1201311431. The reversal of 1201311384 is 4831131021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201311383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1229104 + ... + 1230080.

It is an arithmetic number, because the mean of its divisors is an integer number (28958580).

Almost surely, 21201311384 is an apocalyptic number.

1201311384 is a gapful number since it is divisible by the number (14) 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 1201311384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853349120).

1201311384 is an abundant number, since it is smaller than the sum of its proper divisors (2505386856).

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

1201311384 is a wasteful number, since it uses less digits than its factorization.

1201311384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1201311384 is about 34659.9391805583. The cubic root of 1201311384 is about 1063.0455264378.

The spelling of 1201311384 in words is "one billion, two hundred one million, three hundred eleven thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 563 728 977 1092 1126 1689 1954 2184 2252 2931 3378 3908 3941 4504 5862 6756 6839 7319 7816 7882 11724 11823 12701 13512 13678 14638 15764 20517 21957 23448 23646 25402 27356 29276 31528 38103 41034 43914 47292 50804 51233 54712 58552 76206 82068 87828 88907 94584 101608 102466 152412 153699 164136 175656 177814 204932 266721 304824 307398 355628 409864 533442 550051 614796 711256 1066884 1100102 1229592 1650153 2133768 2200204 3300306 3850357 4400408 6600612 7150663 7700714 11551071 13201224 14301326 15401428 21451989 23102142 28602652 30802856 42903978 46204284 50054641 57205304 85807956 92408568 100109282 150163923 171615912 200218564 300327846 400437128 600655692 1201311384