Search a number
-
+
119126016 = 2113223281
BaseRepresentation
bin1110001100110…
…11100000000000
322022011020011200
413012123200000
5220444013031
615453141200
72644361112
oct706334000
9268136150
10119126016
1161275159
1233a8a800
131b8ac189
1411b6d3b2
15a6d18e6
hex719b800

119126016 has 144 divisors (see below), whose sum is σ = 360294480. Its totient is φ = 37847040.

The previous prime is 119126009. The next prime is 119126023. The reversal of 119126016 is 610621911.

It is an interprime number because it is at equal distance from previous prime (119126009) and next prime (119126023).

It is a tau number, because it is divible by the number of its divisors (144).

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, 423796 + ... + 424076.

It is an arithmetic number, because the mean of its divisors is an integer number (2502045).

Almost surely, 2119126016 is an apocalyptic number.

119126016 is a gapful number since it is divisible by the number (16) 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 119126016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180147240).

119126016 is an abundant number, since it is smaller than the sum of its proper divisors (241168464).

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

119126016 is a wasteful number, since it uses less digits than its factorization.

119126016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 119126016 is about 10914.4865202171. The cubic root of 119126016 is about 492.0420348777.

Adding to 119126016 its reverse (610621911), we get a palindrome (729747927).

The spelling of 119126016 in words is "one hundred nineteen million, one hundred twenty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 281 288 368 384 414 512 552 562 576 736 768 828 843 1024 1104 1124 1152 1472 1536 1656 1686 2048 2208 2248 2304 2529 2944 3072 3312 3372 4416 4496 4608 5058 5888 6144 6463 6624 6744 8832 8992 9216 10116 11776 12926 13248 13488 17664 17984 18432 19389 20232 23552 25852 26496 26976 35328 35968 38778 40464 47104 51704 52992 53952 58167 70656 71936 77556 80928 103408 105984 107904 116334 141312 143872 155112 161856 206816 211968 215808 232668 287744 310224 323712 413632 423936 431616 465336 575488 620448 647424 827264 863232 930672 1240896 1294848 1654528 1726464 1861344 2481792 2589696 3309056 3722688 4963584 5179392 6618112 7445376 9927168 13236224 14890752 19854336 29781504 39708672 59563008 119126016