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190591968 = 25372311307
BaseRepresentation
bin10110101110000…
…11001111100000
3111021122002000210
423113003033200
5342242420333
630525014120
74503001500
oct1327031740
9437562023
10190591968
1198647626
12539b4340
1330642018
141b453a00
1511aeba63
hexb5c33e0

190591968 has 144 divisors (see below), whose sum is σ = 601219584. Its totient is φ = 52657920.

The previous prime is 190591967. The next prime is 190591993. The reversal of 190591968 is 869195091.

190591968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1905919682 = 72650596532226048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190591963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145171 + ... + 146477.

It is an arithmetic number, because the mean of its divisors is an integer number (4175136).

Almost surely, 2190591968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190591968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300609792).

190591968 is an abundant number, since it is smaller than the sum of its proper divisors (410627616).

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

190591968 is a wasteful number, since it uses less digits than its factorization.

190591968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 48.

The square root of 190591968 is about 13805.5049889528. The cubic root of 190591968 is about 575.4861350679.

The spelling of 190591968 in words is "one hundred ninety million, five hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 49 56 62 84 93 96 98 112 124 147 168 186 196 217 224 248 294 336 372 392 434 496 588 651 672 744 784 868 992 1176 1302 1307 1488 1519 1568 1736 2352 2604 2614 2976 3038 3472 3921 4557 4704 5208 5228 6076 6944 7842 9114 9149 10416 10456 12152 15684 18228 18298 20832 20912 24304 27447 31368 36456 36596 40517 41824 48608 54894 62736 64043 72912 73192 81034 109788 121551 125472 128086 145824 146384 162068 192129 219576 243102 256172 283619 292768 324136 384258 439152 486204 512344 567238 648272 768516 850857 878304 972408 1024688 1134476 1296544 1537032 1701714 1944816 1985333 2049376 2268952 3074064 3403428 3889632 3970666 4537904 5955999 6148128 6806856 7941332 9075808 11911998 13613712 15882664 23823996 27227424 31765328 47647992 63530656 95295984 190591968