Search a number
-
+
16097280 = 21335131
BaseRepresentation
bin111101011010…
…000000000000
31010021211022120
4331122000000
513110103110
61333004240
7253552563
oct75320000
933254276
1016097280
1190a5141
125483680
133447c24
1421d04da
15162e870
hexf5a000

16097280 has 112 divisors (see below), whose sum is σ = 51901344. Its totient is φ = 4259840.

The previous prime is 16097261. The next prime is 16097287. The reversal of 16097280 is 8279061.

It is a nialpdrome in base 8.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16097287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122815 + ... + 122945.

Almost surely, 216097280 is an apocalyptic number.

16097280 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 16097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25950672).

16097280 is an abundant number, since it is smaller than the sum of its proper divisors (35804064).

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

16097280 is an equidigital number, since it uses as much as digits as its factorization.

16097280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 16097280 is about 4012.1415727763. The cubic root of 16097280 is about 252.4938664654.

The spelling of 16097280 in words is "sixteen million, ninety-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 131 160 192 240 256 262 320 384 393 480 512 524 640 655 768 786 960 1024 1048 1280 1310 1536 1572 1920 1965 2048 2096 2560 2620 3072 3144 3840 3930 4096 4192 5120 5240 6144 6288 7680 7860 8192 8384 10240 10480 12288 12576 15360 15720 16768 20480 20960 24576 25152 30720 31440 33536 40960 41920 50304 61440 62880 67072 83840 100608 122880 125760 134144 167680 201216 251520 268288 335360 402432 503040 536576 670720 804864 1006080 1073152 1341440 1609728 2012160 2682880 3219456 4024320 5365760 8048640 16097280