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1307124 = 2233721319
BaseRepresentation
bin100111111000111110100
32110102001000
410333013310
5313311444
644003300
714052600
oct4770764
92412030
101307124
11813075
12530530
13369c60
14260500
151ac469
hex13f1f4

1307124 has 144 divisors (see below), whose sum is σ = 4468800. Its totient is φ = 326592.

The previous prime is 1307123. The next prime is 1307153. The reversal of 1307124 is 4217031.

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

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 1307097 and 1307106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307123) 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 47 ways as a sum of consecutive naturals, for example, 68787 + ... + 68805.

21307124 is an apocalyptic number.

1307124 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 1307124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234400).

1307124 is an abundant number, since it is smaller than the sum of its proper divisors (3161676).

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

1307124 is a wasteful number, since it uses less digits than its factorization.

1307124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1307124 is about 1143.2952374606. The cubic root of 1307124 is about 109.3382863445.

It can be divided in two parts, 1307 and 124, that added together give a triangular number (1431 = T53).

The spelling of 1307124 in words is "one million, three hundred seven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 19 21 26 27 28 36 38 39 42 49 52 54 57 63 76 78 84 91 98 108 114 117 126 133 147 156 171 182 189 196 228 234 247 252 266 273 294 342 351 364 378 399 441 468 494 513 532 546 588 637 684 702 741 756 798 819 882 931 988 1026 1092 1197 1274 1323 1404 1482 1596 1638 1729 1764 1862 1911 2052 2223 2394 2457 2548 2646 2793 2964 3276 3458 3591 3724 3822 4446 4788 4914 5187 5292 5586 5733 6669 6916 7182 7644 8379 8892 9828 10374 11172 11466 12103 13338 14364 15561 16758 17199 20748 22932 24206 25137 26676 31122 33516 34398 36309 46683 48412 50274 62244 68796 72618 93366 100548 108927 145236 186732 217854 326781 435708 653562 1307124