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190382016 = 26311109827
BaseRepresentation
bin10110101100011…
…11111111000000
3111021020102000210
423112033333000
5342214211031
630520314120
74501135416
oct1326177700
9437212023
10190382016
1198513910
1253912940
133059a5a6
141b3db2b6
1511aa9746
hexb58ffc0

190382016 has 112 divisors (see below), whose sum is σ = 555223680. Its totient is φ = 57093120.

The previous prime is 190382009. The next prime is 190382053. The reversal of 190382016 is 610283091.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229795 + ... + 230621.

Almost surely, 2190382016 is an apocalyptic number.

190382016 is a gapful number since it is divisible by the number (16) 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 190382016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277611840).

190382016 is an abundant number, since it is smaller than the sum of its proper divisors (364841664).

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

190382016 is a wasteful number, since it uses less digits than its factorization.

190382016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 190382016 is about 13797.8989704955. The cubic root of 190382016 is about 575.2747430571.

The spelling of 190382016 in words is "one hundred ninety million, three hundred eighty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 109 132 176 192 218 264 327 352 436 528 654 704 827 872 1056 1199 1308 1654 1744 2112 2398 2481 2616 3308 3488 3597 4796 4962 5232 6616 6976 7194 9097 9592 9924 10464 13232 14388 18194 19184 19848 20928 26464 27291 28776 36388 38368 39696 52928 54582 57552 72776 76736 79392 90143 109164 115104 145552 158784 180286 218328 230208 270429 291104 360572 436656 540858 582208 721144 873312 991573 1081716 1442288 1746624 1983146 2163432 2884576 2974719 3966292 4326864 5769152 5949438 7932584 8653728 11898876 15865168 17307456 23797752 31730336 47595504 63460672 95191008 190382016