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189967050 = 232527134639
BaseRepresentation
bin10110101001010…
…10101011001010
3111020110022210200
423110222223022
5342112421200
630503353030
74464456540
oct1324525312
9436408720
10189967050
1198260069
1253752776
1330483750
141b32dd90
1511a26800
hexb52aaca

189967050 has 144 divisors (see below), whose sum is σ = 628293120. Its totient is φ = 40072320.

The previous prime is 189967049. The next prime is 189967087. The reversal of 189967050 is 50769981.

189967050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 189966987 and 189967005.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38631 + ... + 43269.

Almost surely, 2189967050 is an apocalyptic number.

189967050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 189967050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314146560).

189967050 is an abundant number, since it is smaller than the sum of its proper divisors (438326070).

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

189967050 is a wasteful number, since it uses less digits than its factorization.

189967050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4677 (or 4669 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 189967050 is about 13782.8534781445. The cubic root of 189967050 is about 574.8564733138.

The spelling of 189967050 in words is "one hundred eighty-nine million, nine hundred sixty-seven thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 25 26 30 35 39 42 45 50 63 65 70 75 78 90 91 105 117 126 130 150 175 182 195 210 225 234 273 315 325 350 390 450 455 525 546 585 630 650 819 910 975 1050 1170 1365 1575 1638 1950 2275 2730 2925 3150 4095 4550 4639 5850 6825 8190 9278 13650 13917 20475 23195 27834 32473 40950 41751 46390 60307 64946 69585 83502 97419 115975 120614 139170 162365 180921 194838 208755 231950 292257 301535 324730 347925 361842 417510 422149 487095 542763 584514 603070 695850 811825 844298 904605 974190 1043775 1085526 1266447 1461285 1507675 1623650 1809210 2087550 2110745 2435475 2532894 2713815 2922570 3015350 3799341 4221490 4523025 4870950 5427630 6332235 7306425 7598682 9046050 10553725 12664470 13569075 14612850 18996705 21107450 27138150 31661175 37993410 63322350 94983525 189967050