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36420000 = 25354607
BaseRepresentation
bin1000101011101…
…1100110100000
32112112022211220
42022323212200
533310420000
63340335040
7621364521
oct212734640
975468756
1036420000
1119615981
1210244480
1377121c6
144ba0848
1532e61a0
hex22bb9a0

36420000 has 120 divisors (see below), whose sum is σ = 119661696. Its totient is φ = 9696000.

The previous prime is 36419993. The next prime is 36420019. The reversal of 36420000 is 2463.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59697 + ... + 60303.

Almost surely, 236420000 is an apocalyptic number.

36420000 is a gapful number since it is divisible by the number (30) 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 36420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59830848).

36420000 is an abundant number, since it is smaller than the sum of its proper divisors (83241696).

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

36420000 is an equidigital number, since it uses as much as digits as its factorization.

36420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 36420000 is about 6034.8985078458. The cubic root of 36420000 is about 331.4718461698.

Adding to 36420000 its reverse (2463), we get a palindrome (36422463).

The spelling of 36420000 in words is "thirty-six million, four hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 607 625 750 800 1000 1200 1214 1250 1500 1821 1875 2000 2400 2428 2500 3000 3035 3642 3750 4000 4856 5000 6000 6070 7284 7500 9105 9712 10000 12000 12140 14568 15000 15175 18210 19424 20000 24280 29136 30000 30350 36420 45525 48560 58272 60000 60700 72840 75875 91050 97120 121400 145680 151750 182100 227625 242800 291360 303500 364200 379375 455250 485600 607000 728400 758750 910500 1138125 1214000 1456800 1517500 1821000 2276250 2428000 3035000 3642000 4552500 6070000 7284000 9105000 12140000 18210000 36420000