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63379000 = 2353611039
BaseRepresentation
bin1111000111000…
…1011000111000
311102020222122101
43301301120320
5112211112000
610142233144
71366466266
oct361613070
9142228571
1063379000
1132859643
12192857b4
1310190c89
1485bb436
15586de6a
hex3c71638

63379000 has 64 divisors (see below), whose sum is σ = 150883200. Its totient is φ = 24912000.

The previous prime is 63378929. The next prime is 63379013. The reversal of 63379000 is 97336.

63379000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 63379000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60481 + ... + 61519.

It is an arithmetic number, because the mean of its divisors is an integer number (2357550).

Almost surely, 263379000 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 63379000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75441600).

63379000 is an abundant number, since it is smaller than the sum of its proper divisors (87504200).

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

63379000 is a wasteful number, since it uses less digits than its factorization.

63379000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 28.

The square root of 63379000 is about 7961.0928897985. The cubic root of 63379000 is about 398.7020428235.

The spelling of 63379000 in words is "sixty-three million, three hundred seventy-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 244 250 305 488 500 610 1000 1039 1220 1525 2078 2440 3050 4156 5195 6100 7625 8312 10390 12200 15250 20780 25975 30500 41560 51950 61000 63379 103900 126758 129875 207800 253516 259750 316895 507032 519500 633790 1039000 1267580 1584475 2535160 3168950 6337900 7922375 12675800 15844750 31689500 63379000