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190960 = 24571131
BaseRepresentation
bin101110100111110000
3100200221121
4232213300
522102320
64032024
71423510
oct564760
9320847
10190960
11120520
1292614
1368bc3
144d840
153b8aa
hex2e9f0

190960 has 80 divisors (see below), whose sum is σ = 571392. Its totient is φ = 57600.

The previous prime is 190921. The next prime is 190979. The reversal of 190960 is 69091.

190960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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, 6145 + ... + 6175.

2190960 is an apocalyptic number.

190960 is a gapful number since it is divisible by the number (10) 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 190960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285696).

190960 is an abundant number, since it is smaller than the sum of its proper divisors (380432).

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

190960 is a wasteful number, since it uses less digits than its factorization.

190960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 190960 is about 436.9897023958. The cubic root of 190960 is about 57.5856317042.

The spelling of 190960 in words is "one hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 31 35 40 44 55 56 62 70 77 80 88 110 112 124 140 154 155 176 217 220 248 280 308 310 341 385 434 440 496 560 616 620 682 770 868 880 1085 1232 1240 1364 1540 1705 1736 2170 2387 2480 2728 3080 3410 3472 4340 4774 5456 6160 6820 8680 9548 11935 13640 17360 19096 23870 27280 38192 47740 95480 190960