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182105040 = 24351358367
BaseRepresentation
bin10101101101010…
…11001111010000
3110200122220011010
422312223033100
5333104330130
630023050520
74340603325
oct1266531720
9420586133
10182105040
1193880237
1250ba0a40
132b960080
141a284b4c
1510ec20b0
hexadab3d0

182105040 has 80 divisors (see below), whose sum is σ = 607961088. Its totient is φ = 44825088.

The previous prime is 182105029. The next prime is 182105047. The reversal of 182105040 is 40501281.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 182104998 and 182105016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182105047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26064 + ... + 32303.

Almost surely, 2182105040 is an apocalyptic number.

182105040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

182105040 is an abundant number, since it is smaller than the sum of its proper divisors (425856048).

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

182105040 is a wasteful number, since it uses less digits than its factorization.

182105040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58396 (or 58390 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 182105040 is about 13494.6300430949. The cubic root of 182105040 is about 566.8141131114.

The spelling of 182105040 in words is "one hundred eighty-two million, one hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 58367 116734 175101 233468 291835 350202 466936 583670 700404 758771 875505 933872 1167340 1400808 1517542 1751010 2276313 2334680 2801616 3035084 3502020 3793855 4552626 4669360 6070168 7004040 7587710 9105252 11381565 12140336 14008080 15175420 18210504 22763130 30350840 36421008 45526260 60701680 91052520 182105040