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13351140 = 22325112613
BaseRepresentation
bin110010111011…
…100011100100
3221010022022200
4302323203210
511404214030
61154054500
7221324415
oct62734344
927108280
1013351140
117599a00
12457a430
1329c5caa
141ab780c
15128ad60
hexcbb8e4

13351140 has 108 divisors (see below), whose sum is σ = 44587452. Its totient is φ = 3231360.

The previous prime is 13351099. The next prime is 13351181. The reversal of 13351140 is 4115331.

It is an interprime number because it is at equal distance from previous prime (13351099) and next prime (13351181).

It can be written as a sum of positive squares in 2 ways, for example, as 1572516 + 11778624 = 1254^2 + 3432^2 .

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 21474 + ... + 22086.

Almost surely, 213351140 is an apocalyptic number.

13351140 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 13351140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22293726).

13351140 is an abundant number, since it is smaller than the sum of its proper divisors (31236312).

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

13351140 is a wasteful number, since it uses less digits than its factorization.

13351140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13351140 is about 3653.9211814159. The cubic root of 13351140 is about 237.2317340311.

Adding to 13351140 its reverse (4115331), we get a palindrome (17466471).

It can be divided in two parts, 13 and 351140, that added together give a palindrome (351153).

The spelling of 13351140 in words is "thirteen million, three hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 613 660 726 990 1089 1210 1226 1452 1815 1839 1980 2178 2420 2452 3065 3630 3678 4356 5445 5517 6130 6743 7260 7356 9195 10890 11034 12260 13486 18390 20229 21780 22068 26972 27585 33715 36780 40458 55170 60687 67430 74173 80916 101145 110340 121374 134860 148346 202290 222519 242748 296692 303435 370865 404580 445038 606870 667557 741730 890076 1112595 1213740 1335114 1483460 2225190 2670228 3337785 4450380 6675570 13351140