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63421120 = 2657231231
BaseRepresentation
bin1111000111101…
…1101011000000
311102100010102101
43301323223000
5112213433440
610143200144
71400033140
oct361735300
9142303371
1063421120
1132888254
12192a6054
13101a71b9
1485cc920
15587b69a
hex3c7bac0

63421120 has 112 divisors (see below), whose sum is σ = 180246528. Its totient is φ = 20782080.

The previous prime is 63421103. The next prime is 63421123. The reversal of 63421120 is 2112436.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (63421123) 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, 50905 + ... + 52135.

It is an arithmetic number, because the mean of its divisors is an integer number (1609344).

Almost surely, 263421120 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 63421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90123264).

63421120 is an abundant number, since it is smaller than the sum of its proper divisors (116825408).

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

63421120 is a wasteful number, since it uses less digits than its factorization.

63421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 63421120 is about 7963.7378158752. The cubic root of 63421120 is about 398.7903455277.

Adding to 63421120 its reverse (2112436), we get a palindrome (65533556).

The spelling of 63421120 in words is "sixty-three million, four hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 140 160 161 184 224 230 280 320 322 368 448 460 560 644 736 805 920 1120 1231 1288 1472 1610 1840 2240 2462 2576 3220 3680 4924 5152 6155 6440 7360 8617 9848 10304 12310 12880 17234 19696 24620 25760 28313 34468 39392 43085 49240 51520 56626 68936 78784 86170 98480 113252 137872 141565 172340 196960 198191 226504 275744 283130 344680 393920 396382 453008 551488 566260 689360 792764 906016 990955 1132520 1378720 1585528 1812032 1981910 2265040 2757440 3171056 3963820 4530080 6342112 7927640 9060160 12684224 15855280 31710560 63421120