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63969920 = 2757109131
BaseRepresentation
bin1111010000000…
…1101010000000
311110101000020022
43310001222000
5112334014140
610203033012
71404510140
oct364015200
9143330208
1063969920
1133122603
121950b768
1310339c31
1486d2920
1559390b5
hex3d01a80

63969920 has 128 divisors (see below), whose sum is σ = 177724800. Its totient is φ = 21565440.

The previous prime is 63969889. The next prime is 63969947. The reversal of 63969920 is 2996936.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488255 + ... + 488385.

It is an arithmetic number, because the mean of its divisors is an integer number (1388475).

Almost surely, 263969920 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 63969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88862400).

63969920 is an abundant number, since it is smaller than the sum of its proper divisors (113754880).

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

63969920 is a wasteful number, since it uses less digits than its factorization.

63969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 44.

The square root of 63969920 is about 7998.1197790481. The cubic root of 63969920 is about 399.9373235130.

The spelling of 63969920 in words is "sixty-three million, nine hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 109 112 128 131 140 160 218 224 262 280 320 436 448 524 545 560 640 655 763 872 896 917 1048 1090 1120 1310 1526 1744 1834 2096 2180 2240 2620 3052 3488 3668 3815 4192 4360 4480 4585 5240 6104 6976 7336 7630 8384 8720 9170 10480 12208 13952 14279 14672 15260 16768 17440 18340 20960 24416 28558 29344 30520 34880 36680 41920 48832 57116 58688 61040 69760 71395 73360 83840 97664 99953 114232 117376 122080 142790 146720 199906 228464 244160 285580 293440 399812 456928 488320 499765 571160 586880 799624 913856 999530 1142320 1599248 1827712 1999060 2284640 3198496 3998120 4569280 6396992 7996240 9138560 12793984 15992480 31984960 63969920