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214020528 = 24331143831
BaseRepresentation
bin11001100000110…
…11000110110000
3112220201100222020
430300123012300
5414242124103
633123111440
75206100361
oct1460330660
9486640866
10214020528
11aa899877
125b812580
1335455b87
14205d1b68
1513bc8753
hexcc1b1b0

214020528 has 40 divisors (see below), whose sum is σ = 570725376. Its totient is φ = 69038400.

The previous prime is 214020523. The next prime is 214020529. The reversal of 214020528 is 825020412.

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 = 214020498 and 214020507.

It is not an unprimeable number, because it can be changed into a prime (214020523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70428 + ... + 73403.

Almost surely, 2214020528 is an apocalyptic number.

It is an amenable number.

214020528 is an abundant number, since it is smaller than the sum of its proper divisors (356704848).

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

214020528 is a wasteful number, since it uses less digits than its factorization.

214020528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143873 (or 143867 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 214020528 is about 14629.4404540980. The cubic root of 214020528 is about 598.1615280105.

The spelling of 214020528 in words is "two hundred fourteen million, twenty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 143831 287662 431493 575324 862986 1150648 1725972 2301296 3451944 4458761 6903888 8917522 13376283 17835044 26752566 35670088 53505132 71340176 107010264 214020528