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63140424 = 23329831093
BaseRepresentation
bin1111000011011…
…1001001001000
311101210212101020
43300313021020
5112130443144
610133152440
71364453604
oct360671110
9141725336
1063140424
1132706376
121918b720
13101094c9
148558504
155823419
hex3c37248

63140424 has 64 divisors (see below), whose sum is σ = 165412800. Its totient is φ = 20057856.

The previous prime is 63140417. The next prime is 63140447. The reversal of 63140424 is 42404136.

It is a super-3 number, since 3×631404243 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 63140394 and 63140403.

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, 57222 + ... + 58314.

It is an arithmetic number, because the mean of its divisors is an integer number (2584575).

Almost surely, 263140424 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 63140424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82706400).

63140424 is an abundant number, since it is smaller than the sum of its proper divisors (102272376).

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

63140424 is a wasteful number, since it uses less digits than its factorization.

63140424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 63140424 is about 7946.0948899444. The cubic root of 63140424 is about 398.2011390417.

The spelling of 63140424 in words is "sixty-three million, one hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 83 87 116 166 174 232 249 332 348 498 664 696 996 1093 1992 2186 2407 3279 4372 4814 6558 7221 8744 9628 13116 14442 19256 26232 28884 31697 57768 63394 90719 95091 126788 181438 190182 253576 272157 362876 380364 544314 725752 760728 1088628 2177256 2630851 5261702 7892553 10523404 15785106 21046808 31570212 63140424