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64820000 = 25547463
BaseRepresentation
bin1111011101000…
…1001100100000
311111222012022202
43313101030200
5113043220000
610233152332
71414650410
oct367211440
9144865282
1064820000
1133653253
121985b6a8
1310576b3b
148874640
155a55dd5
hex3dd1320

64820000 has 120 divisors (see below), whose sum is σ = 182641536. Its totient is φ = 22176000.

The previous prime is 64819999. The next prime is 64820023. The reversal of 64820000 is 2846.

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

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, 139769 + ... + 140231.

Almost surely, 264820000 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 64820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91320768).

64820000 is an abundant number, since it is smaller than the sum of its proper divisors (117821536).

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

64820000 is an equidigital number, since it uses as much as digits as its factorization.

64820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 64820000 is about 8051.0868831481. The cubic root of 64820000 is about 401.7010888203.

Adding to 64820000 its reverse (2846), we get a palindrome (64822846).

It can be divided in two parts, 648 and 20000, that multiplied together give a 4-th power (12960000 = 604).

The spelling of 64820000 in words is "sixty-four million, eight hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 463 500 560 625 700 800 875 926 1000 1120 1250 1400 1750 1852 2000 2315 2500 2800 3241 3500 3704 4000 4375 4630 5000 5600 6482 7000 7408 8750 9260 10000 11575 12964 14000 14816 16205 17500 18520 20000 23150 25928 28000 32410 35000 37040 46300 51856 57875 64820 70000 74080 81025 92600 103712 115750 129640 140000 162050 185200 231500 259280 289375 324100 370400 405125 463000 518560 578750 648200 810250 926000 1157500 1296400 1620500 1852000 2025625 2315000 2592800 3241000 4051250 4630000 6482000 8102500 9260000 12964000 16205000 32410000 64820000