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190982000 = 2453118681
BaseRepresentation
bin10110110001000…
…10011101110000
3111022100220001102
423120202131300
5342342411000
630541223532
74506214556
oct1330423560
9438326042
10190982000
1198893670
1253b61ba8
133074a701
141b515bd6
1511b773d5
hexb622770

190982000 has 80 divisors (see below), whose sum is σ = 503833824. Its totient is φ = 69440000.

The previous prime is 190981993. The next prime is 190982003. The reversal of 190982000 is 289091.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190982003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17660 + ... + 26340.

Almost surely, 2190982000 is an apocalyptic number.

190982000 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 190982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251916912).

190982000 is an abundant number, since it is smaller than the sum of its proper divisors (312851824).

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

190982000 is a wasteful number, since it uses less digits than its factorization.

190982000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8715 (or 8699 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 190982000 is about 13819.6237285970. The cubic root of 190982000 is about 575.8784304907.

The spelling of 190982000 in words is "one hundred ninety million, nine hundred eighty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 8681 11000 17362 22000 34724 43405 69448 86810 95491 138896 173620 190982 217025 347240 381964 434050 477455 694480 763928 868100 954910 1085125 1527856 1736200 1909820 2170250 2387275 3472400 3819640 4340500 4774550 7639280 8681000 9549100 11936375 17362000 19098200 23872750 38196400 47745500 95491000 190982000