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684170136 = 233213259953
BaseRepresentation
bin101000110001111…
…001101110011000
31202200101102222200
4220301321232120
52400121421021
6151520050200
722645231056
oct5061715630
91680342880
10684170136
11321218171
12171163960
13ab989100
1466c171d6
15400e7126
hex28c79b98

684170136 has 144 divisors (see below), whose sum is σ = 2042609400. Its totient is φ = 206728704.

The previous prime is 684170131. The next prime is 684170141. The reversal of 684170136 is 631071486.

684170136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (684170131) and next prime (684170141).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 684170136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684170131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 717436 + ... + 718388.

Almost surely, 2684170136 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 684170136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021304700).

684170136 is an abundant number, since it is smaller than the sum of its proper divisors (1358439264).

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

684170136 is a wasteful number, since it uses less digits than its factorization.

684170136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 684170136 is about 26156.6461152801. The cubic root of 684170136 is about 881.1598583519.

It can be divided in two parts, 684 and 170136, that added together give a triangular number (170820 = T584).

The spelling of 684170136 in words is "six hundred eighty-four million, one hundred seventy thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 59 72 78 104 117 118 156 169 177 234 236 312 338 354 468 472 507 531 676 708 767 936 953 1014 1062 1352 1416 1521 1534 1906 2028 2124 2301 2859 3042 3068 3812 4056 4248 4602 5718 6084 6136 6903 7624 8577 9204 9971 11436 12168 12389 13806 17154 18408 19942 22872 24778 27612 29913 34308 37167 39884 49556 55224 56227 59826 68616 74334 79768 89739 99112 111501 112454 119652 148668 161057 168681 179478 223002 224908 239304 297336 322114 337362 358956 446004 449816 483171 506043 644228 674724 717912 730951 892008 966342 1012086 1288456 1349448 1449513 1461902 1932684 2024172 2192853 2899026 2923804 3865368 4048344 4385706 5798052 5847608 6578559 8771412 9502363 11596104 13157118 17542824 19004726 26314236 28507089 38009452 52628472 57014178 76018904 85521267 114028356 171042534 228056712 342085068 684170136