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190983312 = 243313311097
BaseRepresentation
bin10110110001000…
…10110010010000
3111022100221212000
423120202302100
5342342431222
630541234000
74506221442
oct1330426220
9438327760
10190983312
1198894653
1253b62900
133074b1a0
141b516492
1511b779ac
hexb622c90

190983312 has 160 divisors (see below), whose sum is σ = 609960960. Its totient is φ = 56816640.

The previous prime is 190983311. The next prime is 190983319. The reversal of 190983312 is 213389091.

190983312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (190983311) 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, 173548 + ... + 174644.

It is an arithmetic number, because the mean of its divisors is an integer number (3812256).

Almost surely, 2190983312 is an apocalyptic number.

190983312 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 190983312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304980480).

190983312 is an abundant number, since it is smaller than the sum of its proper divisors (418977648).

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

190983312 is a wasteful number, since it uses less digits than its factorization.

190983312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 190983312 is about 13819.6711972463. The cubic root of 190983312 is about 575.8797492027.

The spelling of 190983312 in words is "one hundred ninety million, nine hundred eighty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 36 39 48 52 54 62 72 78 93 104 108 117 124 144 156 186 208 216 234 248 279 312 351 372 403 432 468 496 558 624 702 744 806 837 936 1097 1116 1209 1404 1488 1612 1674 1872 2194 2232 2418 2808 3224 3291 3348 3627 4388 4464 4836 5616 6448 6582 6696 7254 8776 9672 9873 10881 13164 13392 14261 14508 17552 19344 19746 21762 26328 28522 29016 29619 34007 39492 42783 43524 52656 57044 58032 59238 68014 78984 85566 87048 102021 114088 118476 128349 136028 157968 171132 174096 204042 228176 236952 256698 272056 306063 342264 385047 408084 442091 473904 513396 544112 612126 684528 770094 816168 884182 918189 1026792 1224252 1326273 1540188 1632336 1768364 1836378 2053584 2448504 2652546 3080376 3536728 3672756 3978819 4897008 5305092 6160752 7073456 7345512 7957638 10610184 11936457 14691024 15915276 21220368 23872914 31830552 47745828 63661104 95491656 190983312