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190551312 = 24337611033
BaseRepresentation
bin10110101101110…
…01010100010000
3111021120000021000
423112321110100
5342240120222
630524102000
74502442120
oct1326712420
9437500230
10190551312
119861a026
1253994900
1330629673
141b442c80
1511ade9ac
hexb5b9510

190551312 has 160 divisors (see below), whose sum is σ = 635951360. Its totient is φ = 53498880.

The previous prime is 190551311. The next prime is 190551329. The reversal of 190551312 is 213155091.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (190551311) by changing a digit.

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, 183948 + ... + 184980.

It is an arithmetic number, because the mean of its divisors is an integer number (3974696).

Almost surely, 2190551312 is an apocalyptic number.

190551312 is a gapful number since it is divisible by the number (12) 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 190551312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317975680).

190551312 is an abundant number, since it is smaller than the sum of its proper divisors (445400048).

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

190551312 is a wasteful number, since it uses less digits than its factorization.

190551312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 190551312 is about 13804.0324543229. The cubic root of 190551312 is about 575.4452123428.

The spelling of 190551312 in words is "one hundred ninety million, five hundred fifty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 61 63 72 84 108 112 122 126 144 168 183 189 216 244 252 336 366 378 427 432 488 504 549 732 756 854 976 1008 1033 1098 1281 1464 1512 1647 1708 2066 2196 2562 2928 3024 3099 3294 3416 3843 4132 4392 5124 6198 6588 6832 7231 7686 8264 8784 9297 10248 11529 12396 13176 14462 15372 16528 18594 20496 21693 23058 24792 26352 27891 28924 30744 37188 43386 46116 49584 55782 57848 61488 63013 65079 74376 86772 92232 111564 115696 126026 130158 148752 173544 184464 189039 195237 223128 252052 260316 347088 378078 390474 441091 446256 504104 520632 567117 756156 780948 882182 1008208 1041264 1134234 1323273 1512312 1561896 1701351 1764364 2268468 2646546 3024624 3123792 3402702 3528728 3969819 4536936 5293092 6805404 7057456 7939638 9073872 10586184 11909457 13610808 15879276 21172368 23818914 27221616 31758552 47637828 63517104 95275656 190551312