Search a number
-
+
16109568 = 212321923
BaseRepresentation
bin111101011101…
…000000000000
31010022110011200
4331131000000
513111001233
61333141200
7253633446
oct75350000
933273150
1016109568
1191033a2
12548a800
1334506b7
1421d4b96
151633313
hexf5d000

16109568 has 156 divisors (see below), whose sum is σ = 51111840. Its totient is φ = 4866048.

The previous prime is 16109521. The next prime is 16109573. The reversal of 16109568 is 86590161.

It is a super-2 number, since 2×161095682 = 519036362293248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 700405 + ... + 700427.

It is an arithmetic number, because the mean of its divisors is an integer number (327640).

Almost surely, 216109568 is an apocalyptic number.

16109568 is a gapful number since it is divisible by the number (18) 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 16109568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25555920).

16109568 is an abundant number, since it is smaller than the sum of its proper divisors (35002272).

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

16109568 is a wasteful number, since it uses less digits than its factorization.

16109568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 16109568 is about 4013.6726323904. The cubic root of 16109568 is about 252.5580979275.

The spelling of 16109568 in words is "sixteen million, one hundred nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 23 24 32 36 38 46 48 57 64 69 72 76 92 96 114 128 138 144 152 171 184 192 207 228 256 276 288 304 342 368 384 414 437 456 512 552 576 608 684 736 768 828 874 912 1024 1104 1152 1216 1311 1368 1472 1536 1656 1748 1824 2048 2208 2304 2432 2622 2736 2944 3072 3312 3496 3648 3933 4096 4416 4608 4864 5244 5472 5888 6144 6624 6992 7296 7866 8832 9216 9728 10488 10944 11776 12288 13248 13984 14592 15732 17664 18432 19456 20976 21888 23552 26496 27968 29184 31464 35328 36864 38912 41952 43776 47104 52992 55936 58368 62928 70656 77824 83904 87552 94208 105984 111872 116736 125856 141312 167808 175104 211968 223744 233472 251712 282624 335616 350208 423936 447488 503424 671232 700416 847872 894976 1006848 1342464 1789952 2013696 2684928 4027392 5369856 8054784 16109568