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16241742 = 2331137739
BaseRepresentation
bin111101111101…
…010001001110
31010120011111000
4331331101032
513124213432
61340041130
7255024006
oct75752116
933504430
1016241742
119193730
1255331a6
1334988ca
14222b006
15165c57c
hexf7d44e

16241742 has 64 divisors (see below), whose sum is σ = 40492800. Its totient is φ = 4782240.

The previous prime is 16241741. The next prime is 16241767. The reversal of 16241742 is 24714261.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16241741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21609 + ... + 22347.

It is an arithmetic number, because the mean of its divisors is an integer number (632700).

Almost surely, 216241742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16241742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20246400).

16241742 is an abundant number, since it is smaller than the sum of its proper divisors (24251058).

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

16241742 is a wasteful number, since it uses less digits than its factorization.

16241742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 792 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 16241742 is about 4030.1044651473. The cubic root of 16241742 is about 253.2469376831.

The spelling of 16241742 in words is "sixteen million, two hundred forty-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 99 111 198 222 297 333 407 594 666 739 814 999 1221 1478 1998 2217 2442 3663 4434 6651 7326 8129 10989 13302 16258 19953 21978 24387 27343 39906 48774 54686 73161 82029 146322 164058 219483 246087 300773 438966 492174 601546 738261 902319 1476522 1804638 2706957 5413914 8120871 16241742