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16012140 = 22352341283
BaseRepresentation
bin111101000101…
…001101101100
31010010111112020
4331011031230
513044342030
61331110140
7253046424
oct75051554
933114466
1016012140
119047181
125442350
133418251
1421ab484
151614510
hexf4536c

16012140 has 96 divisors (see below), whose sum is σ = 48093696. Its totient is φ = 3970560.

The previous prime is 16012121. The next prime is 16012153. The reversal of 16012140 is 4121061.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 9.

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 31 ways as a sum of consecutive naturals, for example, 56439 + ... + 56721.

It is an arithmetic number, because the mean of its divisors is an integer number (500976).

Almost surely, 216012140 is an apocalyptic number.

16012140 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 16012140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24046848).

16012140 is an abundant number, since it is smaller than the sum of its proper divisors (32081556).

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

16012140 is a wasteful number, since it uses less digits than its factorization.

16012140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 16012140 is about 4001.5172122584. The cubic root of 16012140 is about 252.0479248736.

It can be divided in two parts, 1601 and 2140, that added together give a triangular number (3741 = T86).

The spelling of 16012140 in words is "sixteen million, twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 41 46 60 69 82 92 115 123 138 164 205 230 246 276 283 345 410 460 492 566 615 690 820 849 943 1132 1230 1380 1415 1698 1886 2460 2829 2830 3396 3772 4245 4715 5658 5660 6509 8490 9430 11316 11603 13018 14145 16980 18860 19527 23206 26036 28290 32545 34809 39054 46412 56580 58015 65090 69618 78108 97635 116030 130180 139236 174045 195270 232060 266869 348090 390540 533738 696180 800607 1067476 1334345 1601214 2668690 3202428 4003035 5337380 8006070 16012140