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214288060 = 225717179503
BaseRepresentation
bin11001100010111…
…00011010111100
3112221012221221211
430301130122330
5414324204220
633132534204
75211263350
oct1461343274
9487187854
10214288060
11aaa61878
125b921364
133551a88c
1420661460
1513c2cb5a
hexcc5c6bc

214288060 has 96 divisors (see below), whose sum is σ = 548674560. Its totient is φ = 68625408.

The previous prime is 214288051. The next prime is 214288073. The reversal of 214288060 is 60882412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425769 + ... + 426271.

It is an arithmetic number, because the mean of its divisors is an integer number (5715360).

Almost surely, 2214288060 is an apocalyptic number.

214288060 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 214288060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274337280).

214288060 is an abundant number, since it is smaller than the sum of its proper divisors (334386500).

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

214288060 is a wasteful number, since it uses less digits than its factorization.

214288060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 214288060 is about 14638.5812154047. The cubic root of 214288060 is about 598.4106641067.

The spelling of 214288060 in words is "two hundred fourteen million, two hundred eighty-eight thousand, sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 179 238 340 358 476 503 595 716 895 1006 1190 1253 1790 2012 2380 2506 2515 3043 3521 3580 5012 5030 6086 6265 7042 8551 10060 12172 12530 14084 15215 17102 17605 21301 25060 30430 34204 35210 42602 42755 59857 60860 70420 85204 85510 90037 106505 119714 171020 180074 213010 239428 299285 360148 426020 450185 598570 630259 900370 1197140 1260518 1530629 1800740 2521036 3061258 3151295 6122516 6302590 7653145 10714403 12605180 15306290 21428806 30612580 42857612 53572015 107144030 214288060