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190129464 = 23337413067
BaseRepresentation
bin10110101010100…
…10010100111000
3111020202120121000
423111102110320
5342133120324
630511045000
74466034210
oct1325222470
9436676530
10190129464
1198361098
1253810760
133050c655
141b373240
1511a599c9
hexb552538

190129464 has 128 divisors (see below), whose sum is σ = 618508800. Its totient is φ = 52980480.

The previous prime is 190129427. The next prime is 190129483. The reversal of 190129464 is 464921091.

It is a happy number.

190129464 is a `hidden beast` number, since 190 + 1 + 2 + 9 + 464 = 666.

It is a super-2 number, since 2×1901294642 = 72298426161854592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60459 + ... + 63525.

It is an arithmetic number, because the mean of its divisors is an integer number (4832100).

Almost surely, 2190129464 is an apocalyptic number.

190129464 is a gapful number since it is divisible by the number (14) 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 190129464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309254400).

190129464 is an abundant number, since it is smaller than the sum of its proper divisors (428379336).

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

190129464 is a wasteful number, since it uses less digits than its factorization.

190129464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 190129464 is about 13788.7441052476. The cubic root of 190129464 is about 575.0202528468.

The spelling of 190129464 in words is "one hundred ninety million, one hundred twenty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 82 84 108 123 126 164 168 189 216 246 252 287 328 369 378 492 504 574 738 756 861 984 1107 1148 1476 1512 1722 2214 2296 2583 2952 3067 3444 4428 5166 6134 6888 7749 8856 9201 10332 12268 15498 18402 20664 21469 24536 27603 30996 36804 42938 55206 61992 64407 73608 82809 85876 110412 125747 128814 165618 171752 193221 220824 251494 257628 331236 377241 386442 502988 515256 579663 662472 754482 772884 880229 1005976 1131723 1159326 1508964 1545768 1760458 2263446 2318652 2640687 3017928 3395169 3520916 4526892 4637304 5281374 6790338 7041832 7922061 9053784 10562748 13580676 15844122 21125496 23766183 27161352 31688244 47532366 63376488 95064732 190129464