Search a number
-
+
190621368 = 23327271761
BaseRepresentation
bin10110101110010…
…10011010111000
3111021200120100200
423113022122320
5342244340433
630525402200
74503153300
oct1327123270
9437616320
10190621368
1198667723
1253a09360
1330652512
141b460600
1511b05613
hexb5ca6b8

190621368 has 144 divisors (see below), whose sum is σ = 609813360. Its totient is φ = 53625600.

The previous prime is 190621363. The next prime is 190621427. The reversal of 190621368 is 863126091.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190621363) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 250108 + ... + 250868.

It is an arithmetic number, because the mean of its divisors is an integer number (4234815).

Almost surely, 2190621368 is an apocalyptic number.

190621368 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 190621368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304906680).

190621368 is an abundant number, since it is smaller than the sum of its proper divisors (419191992).

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

190621368 is a wasteful number, since it uses less digits than its factorization.

190621368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 844 counting only the distinct ones).

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

The square root of 190621368 is about 13806.5697405257. The cubic root of 190621368 is about 575.5157243220.

The spelling of 190621368 in words is "one hundred ninety million, six hundred twenty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 71 72 84 98 126 142 147 168 196 213 252 284 294 392 426 441 497 504 568 588 639 761 852 882 994 1176 1278 1491 1522 1704 1764 1988 2283 2556 2982 3044 3479 3528 3976 4473 4566 5112 5327 5964 6088 6849 6958 8946 9132 10437 10654 11928 13698 13916 15981 17892 18264 20874 21308 27396 27832 31311 31962 35784 37289 41748 42616 47943 54031 54792 62622 63924 74578 83496 95886 108062 111867 125244 127848 149156 162093 191772 216124 223734 250488 298312 324186 335601 378217 383544 432248 447468 486279 648372 671202 756434 894936 972558 1134651 1296744 1342404 1512868 1945116 2269302 2647519 2684808 3025736 3403953 3890232 4538604 5295038 6807906 7942557 9077208 10590076 13615812 15885114 21180152 23827671 27231624 31770228 47655342 63540456 95310684 190621368