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216130560 = 2103514071
BaseRepresentation
bin11001110000111…
…10010000000000
3120001200120101120
430320132100000
5420312134220
633240232240
75233036152
oct1470362000
9501616346
10216130560
111010000a8
126046b680
1335a14409
14209c0ad2
1513e93a40
hexce1e400

216130560 has 88 divisors (see below), whose sum is σ = 691329216. Its totient is φ = 57630720.

The previous prime is 216130547. The next prime is 216130573. The reversal of 216130560 is 65031612.

It is an interprime number because it is at equal distance from previous prime (216130547) and next prime (216130573).

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

It is a self number, because there is not a number n which added to its sum of digits gives 216130560.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8325 + ... + 22395.

Almost surely, 2216130560 is an apocalyptic number.

216130560 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 216130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345664608).

216130560 is an abundant number, since it is smaller than the sum of its proper divisors (475198656).

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

216130560 is a wasteful number, since it uses less digits than its factorization.

216130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14099 (or 14081 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 216130560 is about 14701.3795271056. The cubic root of 216130560 is about 600.1208645402.

The spelling of 216130560 in words is "two hundred sixteen million, one hundred thirty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 14071 15360 28142 42213 56284 70355 84426 112568 140710 168852 211065 225136 281420 337704 422130 450272 562840 675408 844260 900544 1125680 1350816 1688520 1801088 2251360 2701632 3377040 3602176 4502720 5403264 6754080 7204352 9005440 10806528 13508160 14408704 18010880 21613056 27016320 36021760 43226112 54032640 72043520 108065280 216130560