Search a number
-
+
63540064 = 2574827
BaseRepresentation
bin1111001001100…
…0101101100000
311102120011120201
43302120231200
5112231240224
610145514544
71401040000
oct362305540
9142504521
1063540064
1132959655
1219342a54
1310219393
148620000
1558a1a44
hex3c98b60

63540064 has 60 divisors (see below), whose sum is σ = 146111364. Its totient is φ = 27198528.

The previous prime is 63540041. The next prime is 63540077. The reversal of 63540064 is 46004536.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 76419 + ... + 77245.

Almost surely, 263540064 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 63540064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73055682).

63540064 is an abundant number, since it is smaller than the sum of its proper divisors (82571300).

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

63540064 is an frugal number, since it uses more digits than its factorization.

63540064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 63540064 is about 7971.2021678038. The cubic root of 63540064 is about 399.0394954235.

The spelling of 63540064 in words is "sixty-three million, five hundred forty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 827 1372 1568 1654 2401 2744 3308 4802 5488 5789 6616 9604 10976 11578 13232 19208 23156 26464 38416 40523 46312 76832 81046 92624 162092 185248 283661 324184 567322 648368 1134644 1296736 1985627 2269288 3971254 4538576 7942508 9077152 15885016 31770032 63540064