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190465056 = 25324714071
BaseRepresentation
bin10110101101001…
…00010000100000
3111021101121221100
423112210100200
5342224340211
630522154400
74501632465
oct1326442040
9437347840
10190465056
1198570241
1253952a00
13305c9322
141b41d66c
1511ac4156
hexb5a4420

190465056 has 72 divisors (see below), whose sum is σ = 553198464. Its totient is φ = 62133120.

The previous prime is 190465027. The next prime is 190465091. The reversal of 190465056 is 650564091.

190465056 is a `hidden beast` number, since 190 + 465 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 190465056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6501 + ... + 20571.

It is an arithmetic number, because the mean of its divisors is an integer number (7683312).

Almost surely, 2190465056 is an apocalyptic number.

190465056 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 190465056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276599232).

190465056 is an abundant number, since it is smaller than the sum of its proper divisors (362733408).

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

190465056 is a wasteful number, since it uses less digits than its factorization.

190465056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14134 (or 14123 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 190465056 is about 13800.9077962285. The cubic root of 190465056 is about 575.3583711782.

The spelling of 190465056 in words is "one hundred ninety million, four hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4512 6768 13536 14071 28142 42213 56284 84426 112568 126639 168852 225136 253278 337704 450272 506556 661337 675408 1013112 1322674 1350816 1984011 2026224 2645348 3968022 4052448 5290696 5952033 7936044 10581392 11904066 15872088 21162784 23808132 31744176 47616264 63488352 95232528 190465056