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63381000 = 2335337571
BaseRepresentation
bin1111000111000…
…1111000001000
311102021002101110
43301301320020
5112211143000
610142250320
71366505154
oct361617010
9142232343
1063381000
11328600a1
12192869a0
1310191b67
1485bc064
15586e850
hex3c71e08

63381000 has 128 divisors (see below), whose sum is σ = 203448960. Its totient is φ = 16416000.

The previous prime is 63380987. The next prime is 63381023. The reversal of 63381000 is 18336.

It is a super-2 number, since 2×633810002 = 8034302322000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110715 + ... + 111285.

It is an arithmetic number, because the mean of its divisors is an integer number (1589445).

Almost surely, 263381000 is an apocalyptic number.

63381000 is a gapful number since it is divisible by the number (60) 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 63381000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101724480).

63381000 is an abundant number, since it is smaller than the sum of its proper divisors (140067960).

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

63381000 is a wasteful number, since it uses less digits than its factorization.

63381000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 63381000 is about 7961.2184997022. The cubic root of 63381000 is about 398.7062366190.

Adding to 63381000 its reverse (18336), we get a palindrome (63399336).

The spelling of 63381000 in words is "sixty-three million, three hundred eighty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 571 600 740 750 888 925 1000 1110 1142 1480 1500 1713 1850 2220 2284 2775 2855 3000 3426 3700 4440 4568 4625 5550 5710 6852 7400 8565 9250 11100 11420 13704 13875 14275 17130 18500 21127 22200 22840 27750 28550 34260 37000 42254 42825 55500 57100 63381 68520 71375 84508 85650 105635 111000 114200 126762 142750 169016 171300 211270 214125 253524 285500 316905 342600 422540 428250 507048 528175 571000 633810 845080 856500 1056350 1267620 1584525 1713000 2112700 2535240 2640875 3169050 4225400 5281750 6338100 7922625 10563500 12676200 15845250 21127000 31690500 63381000