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63098240 = 275195189
BaseRepresentation
bin1111000010110…
…0110110000000
311101201201111212
43300230312000
5112123120430
610132225252
71364216612
oct360546600
9141651455
1063098240
1132687707
121916b228
13100c324a
148546db2
155815b95
hex3c2cd80

63098240 has 64 divisors (see below), whose sum is σ = 158814000. Its totient is φ = 23906304.

The previous prime is 63098201. The next prime is 63098251. The reversal of 63098240 is 4289036.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 63098197 and 63098206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9566 + ... + 14754.

Almost surely, 263098240 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 63098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79407000).

63098240 is an abundant number, since it is smaller than the sum of its proper divisors (95715760).

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

63098240 is a wasteful number, since it uses less digits than its factorization.

63098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5227 (or 5215 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 63098240 is about 7943.4400608301. The cubic root of 63098240 is about 398.1124401385.

The spelling of 63098240 in words is "sixty-three million, ninety-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 2432 3040 5189 6080 10378 12160 20756 25945 41512 51890 83024 98591 103780 166048 197182 207560 332096 394364 415120 492955 664192 788728 830240 985910 1577456 1660480 1971820 3154912 3320960 3943640 6309824 7887280 12619648 15774560 31549120 63098240