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216060480 = 26335171471
BaseRepresentation
bin11001110000011…
…01001001000000
3120001120000021000
430320031021000
5420302413410
633234532000
75232324636
oct1470151100
9501500230
10216060480
11100a62489
1260437000
13359bb54c
14209a3356
1513e7cdc0
hexce0d240

216060480 has 224 divisors, whose sum is σ = 807598080. Its totient is φ = 54190080.

The previous prime is 216060479. The next prime is 216060487. The reversal of 216060480 is 84060612.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (216060487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146145 + ... + 147615.

Almost surely, 2216060480 is an apocalyptic number.

216060480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403799040).

216060480 is an abundant number, since it is smaller than the sum of its proper divisors (591537600).

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

216060480 is a wasteful number, since it uses less digits than its factorization.

216060480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 216060480 is about 14698.9958840732. The cubic root of 216060480 is about 600.0559947741.

The spelling of 216060480 in words is "two hundred sixteen million, sixty thousand, four hundred eighty".