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1401631452 = 223413893739
BaseRepresentation
bin101001110001011…
…0011001011011100
310121200102020220000
41103202303023130
510332304201302
6351025454300
746506446034
oct12342631334
93550366800
101401631452
1165a203501
123314a1390
13194500230
14d42188c4
15830b831c
hex538b32dc

1401631452 has 120 divisors (see below), whose sum is σ = 3991402800. Its totient is φ = 426311424.

The previous prime is 1401631423. The next prime is 1401631507. The reversal of 1401631452 is 2541361041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 372999 + ... + 376737.

It is an arithmetic number, because the mean of its divisors is an integer number (33261690).

Almost surely, 21401631452 is an apocalyptic number.

1401631452 is a gapful number since it is divisible by the number (12) 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 1401631452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995701400).

1401631452 is an abundant number, since it is smaller than the sum of its proper divisors (2589771348).

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

1401631452 is a wasteful number, since it uses less digits than its factorization.

1401631452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3857 (or 3846 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1401631452 is about 37438.3687144619. The cubic root of 1401631452 is about 1119.1233179938.

Adding to 1401631452 its reverse (2541361041), we get a palindrome (3942992493).

The spelling of 1401631452 in words is "one billion, four hundred one million, six hundred thirty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 89 108 117 156 162 178 234 267 324 351 356 468 534 702 801 1053 1068 1157 1404 1602 2106 2314 2403 3204 3471 3739 4212 4628 4806 6942 7209 7478 9612 10413 11217 13884 14418 14956 20826 22434 28836 31239 33651 41652 44868 48607 62478 67302 93717 97214 100953 124956 134604 145821 187434 194428 201906 291642 302859 332771 374868 403812 437463 583284 605718 665542 874926 998313 1211436 1312389 1331084 1749852 1996626 2624778 2994939 3937167 3993252 4326023 5249556 5989878 7874334 8652046 8984817 11979756 12978069 15748668 17304092 17969634 25956138 26954451 35939268 38934207 51912276 53908902 77868414 107817804 116802621 155736828 233605242 350407863 467210484 700815726 1401631452