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182930040 = 233252322093
BaseRepresentation
bin10101110011101…
…00101001111000
3110202012210211200
422321310221320
5333312230130
630052454200
74350610506
oct1271645170
9422183750
10182930040
1194294057
125131a360
132bb8b737
141a41b676
15110d6760
hexae74a78

182930040 has 96 divisors (see below), whose sum is σ = 620399520. Its totient is φ = 46658304.

The previous prime is 182930029. The next prime is 182930071. The reversal of 182930040 is 40039281.

182930040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 182929986 and 182930013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2767 + ... + 19326.

It is an arithmetic number, because the mean of its divisors is an integer number (6462495).

Almost surely, 2182930040 is an apocalyptic number.

182930040 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 182930040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310199760).

182930040 is an abundant number, since it is smaller than the sum of its proper divisors (437469480).

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

182930040 is a wasteful number, since it uses less digits than its factorization.

182930040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22133 (or 22126 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 182930040 is about 13525.1632152814. The cubic root of 182930040 is about 567.6687796483.

The spelling of 182930040 in words is "one hundred eighty-two million, nine hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 22093 44186 66279 88372 110465 132558 176744 198837 220930 265116 331395 397674 441860 508139 530232 662790 795348 883720 994185 1016278 1325580 1524417 1590696 1988370 2032556 2540695 2651160 3048834 3976740 4065112 4573251 5081390 6097668 7622085 7953480 9146502 10162780 12195336 15244170 18293004 20325560 22866255 30488340 36586008 45732510 60976680 91465020 182930040