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216053760 = 2113513541
BaseRepresentation
bin11001110000010…
…11100000000000
3120001112200001010
430320023200000
5420302210020
633234440520
75232266226
oct1470134000
9501480033
10216053760
11100a5842a
1260433140
13359b8480
14209a0b16
1513e7ade0
hexce0b800

216053760 has 192 divisors, whose sum is σ = 745748640. Its totient is φ = 53084160.

The previous prime is 216053713. The next prime is 216053771. The reversal of 216053760 is 67350612.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 399090 + ... + 399630.

Almost surely, 2216053760 is an apocalyptic number.

216053760 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 216053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372874320).

216053760 is an abundant number, since it is smaller than the sum of its proper divisors (529694880).

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

216053760 is a wasteful number, since it uses less digits than its factorization.

216053760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 216053760 is about 14698.7672952530. The cubic root of 216053760 is about 600.0497736486.

The spelling of 216053760 in words is "two hundred sixteen million, fifty-three thousand, seven hundred sixty".