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190986768 = 24337137461
BaseRepresentation
bin10110110001000…
…11101000010000
3111022101010121000
423120203220100
5342343034033
630541302000
74506234510
oct1330435020
9438333530
10190986768
1198897205
1253b64900
133074c92b
141b517840
1511b78a13
hexb623a10

190986768 has 160 divisors (see below), whose sum is σ = 632459520. Its totient is φ = 54051840.

The previous prime is 190986751. The next prime is 190986769. The reversal of 190986768 is 867689091.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (190986769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414058 + ... + 414518.

It is an arithmetic number, because the mean of its divisors is an integer number (3952872).

Almost surely, 2190986768 is an apocalyptic number.

190986768 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 190986768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316229760).

190986768 is an abundant number, since it is smaller than the sum of its proper divisors (441472752).

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

190986768 is a wasteful number, since it uses less digits than its factorization.

190986768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 190986768 is about 13819.7962358350. The cubic root of 190986768 is about 575.8832228542.

The spelling of 190986768 in words is "one hundred ninety million, nine hundred eighty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 137 144 168 189 216 252 274 336 378 411 432 461 504 548 756 822 922 959 1008 1096 1233 1383 1512 1644 1844 1918 2192 2466 2766 2877 3024 3227 3288 3688 3699 3836 4149 4932 5532 5754 6454 6576 7376 7398 7672 8298 8631 9681 9864 11064 11508 12447 12908 14796 15344 16596 17262 19362 19728 22128 23016 24894 25816 25893 29043 29592 33192 34524 38724 46032 49788 51632 51786 58086 59184 63157 66384 69048 77448 87129 99576 103572 116172 126314 138096 154896 174258 189471 199152 207144 232344 252628 348516 378942 414288 442099 464688 505256 568413 697032 757884 884198 1010512 1136826 1326297 1394064 1515768 1705239 1768396 2273652 2652594 3031536 3410478 3536792 3978891 4547304 5305188 6820956 7073584 7957782 9094608 10610376 11936673 13641912 15915564 21220752 23873346 27283824 31831128 47746692 63662256 95493384 190986768