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182891340 = 2232519531009
BaseRepresentation
bin10101110011010…
…11001101001100
3110202010211202100
422321223031030
5333310010330
630051555100
74350356622
oct1271531514
9422124670
10182891340
1194267a75
12512bba90
132bb76c38
141a40b512
15110ca060
hexae6b34c

182891340 has 144 divisors (see below), whose sum is σ = 595576800. Its totient is φ = 45287424.

The previous prime is 182891339. The next prime is 182891347. The reversal of 182891340 is 43198281.

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

It is a junction number, because it is equal to n+sod(n) for n = 182891295 and 182891304.

It is not an unprimeable number, because it can be changed into a prime (182891347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180756 + ... + 181764.

It is an arithmetic number, because the mean of its divisors is an integer number (4135950).

Almost surely, 2182891340 is an apocalyptic number.

182891340 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 182891340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297788400).

182891340 is an abundant number, since it is smaller than the sum of its proper divisors (412685460).

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

182891340 is a wasteful number, since it uses less digits than its factorization.

182891340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 182891340 is about 13523.7324729529. The cubic root of 182891340 is about 567.6287455253.

The spelling of 182891340 in words is "one hundred eighty-two million, eight hundred ninety-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 53 57 60 76 90 95 106 114 159 171 180 190 212 228 265 285 318 342 380 477 530 570 636 684 795 855 954 1007 1009 1060 1140 1590 1710 1908 2014 2018 2385 3021 3027 3180 3420 4028 4036 4770 5035 5045 6042 6054 9063 9081 9540 10070 10090 12084 12108 15105 15135 18126 18162 19171 20140 20180 30210 30270 36252 36324 38342 45315 45405 53477 57513 60420 60540 76684 90630 90810 95855 106954 115026 160431 172539 181260 181620 191710 213908 230052 267385 287565 320862 345078 383420 481293 534770 575130 641724 690156 802155 862695 962586 1016063 1069540 1150260 1604310 1725390 1925172 2032126 2406465 3048189 3208620 3450780 4064252 4812930 5080315 6096378 9144567 9625860 10160630 12192756 15240945 18289134 20321260 30481890 36578268 45722835 60963780 91445670 182891340