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190688688 = 24332931491
BaseRepresentation
bin10110101110110…
…10110110110000
3111021210222201000
423113122312300
5342304014223
630531042000
74503553461
oct1327326660
9437728630
10190688688
1198703263
1253a40300
1330677058
141b47ad68
1511b1a543
hexb5dadb0

190688688 has 160 divisors (see below), whose sum is σ = 585676800. Its totient is φ = 59270400.

The previous prime is 190688683. The next prime is 190688737. The reversal of 190688688 is 886886091.

190688688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1906886882 = 72724351462322688, which contains 22 as substring.

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 (190688683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388123 + ... + 388613.

It is an arithmetic number, because the mean of its divisors is an integer number (3660480).

Almost surely, 2190688688 is an apocalyptic number.

190688688 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 190688688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292838400).

190688688 is an abundant number, since it is smaller than the sum of its proper divisors (394988112).

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

190688688 is a wasteful number, since it uses less digits than its factorization.

190688688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 190688688 is about 13809.0074951098. The cubic root of 190688688 is about 575.5834662178.

The spelling of 190688688 in words is "one hundred ninety million, six hundred eighty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 31 36 48 54 58 62 72 87 93 108 116 124 144 174 186 216 232 248 261 279 348 372 432 464 491 496 522 558 696 744 783 837 899 982 1044 1116 1392 1473 1488 1566 1674 1798 1964 2088 2232 2697 2946 3132 3348 3596 3928 4176 4419 4464 5394 5892 6264 6696 7192 7856 8091 8838 10788 11784 12528 13257 13392 14239 14384 15221 16182 17676 21576 23568 24273 26514 28478 30442 32364 35352 42717 43152 45663 48546 53028 56956 60884 64728 70704 85434 91326 97092 106056 113912 121768 128151 129456 136989 170868 182652 194184 212112 227824 243536 256302 273978 341736 365304 384453 388368 410967 441409 512604 547956 683472 730608 768906 821934 882818 1025208 1095912 1324227 1537812 1643868 1765636 2050416 2191824 2648454 3075624 3287736 3531272 3972681 5296908 6151248 6575472 7062544 7945362 10593816 11918043 15890724 21187632 23836086 31781448 47672172 63562896 95344344 190688688