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16214240 = 255731467
BaseRepresentation
bin111101110110…
…100011100000
31010111202202102
4331312203200
513122323430
61335305532
7254550560
oct75664340
933452672
1016214240
119174aa9
12551b2a8
133489233
142220da0
151654345
hexf768e0

16214240 has 96 divisors (see below), whose sum is σ = 45287424. Its totient is φ = 5368320.

The previous prime is 16214207. The next prime is 16214267. The reversal of 16214240 is 4241261.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34487 + ... + 34953.

It is an arithmetic number, because the mean of its divisors is an integer number (471744).

Almost surely, 216214240 is an apocalyptic number.

16214240 is a gapful number since it is divisible by the number (10) 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 16214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22643712).

16214240 is an abundant number, since it is smaller than the sum of its proper divisors (29073184).

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

16214240 is a wasteful number, since it uses less digits than its factorization.

16214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 16214240 is about 4026.6909491542. The cubic root of 16214240 is about 253.1039166507.

The spelling of 16214240 in words is "sixteen million, two hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 434 467 496 560 620 868 934 992 1085 1120 1240 1736 1868 2170 2335 2480 3269 3472 3736 4340 4670 4960 6538 6944 7472 8680 9340 13076 14477 14944 16345 17360 18680 26152 28954 32690 34720 37360 52304 57908 65380 72385 74720 101339 104608 115816 130760 144770 202678 231632 261520 289540 405356 463264 506695 523040 579080 810712 1013390 1158160 1621424 2026780 2316320 3242848 4053560 8107120 16214240