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190281312 = 2534135647
BaseRepresentation
bin10110101011101…
…11011001100000
3111021001021220000
423111313121200
5342203000222
630514220000
74500236004
oct1325673140
9437037800
10190281312
1198455191
1253884600
13305637c0
141b3b2704
1511a899ac
hexb577660

190281312 has 120 divisors (see below), whose sum is σ = 602765856. Its totient is φ = 58537728.

The previous prime is 190281293. The next prime is 190281341. The reversal of 190281312 is 213182091.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30873 + ... + 36519.

Almost surely, 2190281312 is an apocalyptic number.

190281312 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 190281312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301382928).

190281312 is an abundant number, since it is smaller than the sum of its proper divisors (412484544).

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

190281312 is a wasteful number, since it uses less digits than its factorization.

190281312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5682 (or 5665 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 190281312 is about 13794.2492365478. The cubic root of 190281312 is about 575.1732931994.

The spelling of 190281312 in words is "one hundred ninety million, two hundred eighty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 5647 8424 11232 11294 16848 16941 22588 33696 33882 45176 50823 67764 73411 90352 101646 135528 146822 152469 180704 203292 220233 271056 293644 304938 406584 440466 457407 542112 587288 609876 660699 813168 880932 914814 1174576 1219752 1321398 1626336 1761864 1829628 1982097 2349152 2439504 2642796 3523728 3659256 3964194 4879008 5285592 5946291 7047456 7318512 7928388 10571184 11892582 14637024 15856776 21142368 23785164 31713552 47570328 63427104 95140656 190281312