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36380000 = 255417107
BaseRepresentation
bin1000101011000…
…1110101100000
32112110021222102
42022301311200
533303130000
63335425532
7621140066
oct212616540
975407872
1036380000
1119598918
12102252a8
1376c9c37
144b90036
1532d93d5
hex22b1d60

36380000 has 120 divisors (see below), whose sum is σ = 95650632. Its totient is φ = 13568000.

The previous prime is 36379999. The next prime is 36380023. The reversal of 36380000 is 8363.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 339947 + ... + 340053.

Almost surely, 236380000 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 36380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47825316).

36380000 is an abundant number, since it is smaller than the sum of its proper divisors (59270632).

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

36380000 is a wasteful number, since it uses less digits than its factorization.

36380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 36380000 is about 6031.5835400001. The cubic root of 36380000 is about 331.3504501339.

Adding to 36380000 its reverse (8363), we get a palindrome (36388363).

The spelling of 36380000 in words is "thirty-six million, three hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 107 125 136 160 170 200 214 250 272 340 400 425 428 500 535 544 625 680 800 850 856 1000 1070 1250 1360 1700 1712 1819 2000 2125 2140 2500 2675 2720 3400 3424 3638 4000 4250 4280 5000 5350 6800 7276 8500 8560 9095 10000 10625 10700 13375 13600 14552 17000 17120 18190 20000 21250 21400 26750 29104 34000 36380 42500 42800 45475 53500 58208 66875 68000 72760 85000 85600 90950 107000 133750 145520 170000 181900 214000 227375 267500 291040 340000 363800 428000 454750 535000 727600 909500 1070000 1136875 1455200 1819000 2140000 2273750 3638000 4547500 7276000 9095000 18190000 36380000