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190013076 = 2232112181241
BaseRepresentation
bin10110101001101…
…01111010010100
3111020112122221100
423110311322110
5342120404301
630504350100
74465040661
oct1324657224
9436478840
10190013076
1198291700
1253775330
133049b696
141b342a68
1511a35286
hexb535e94

190013076 has 108 divisors (see below), whose sum is σ = 533064532. Its totient is φ = 57024000.

The previous prime is 190013071. The next prime is 190013077. The reversal of 190013076 is 670310091.

It can be written as a sum of positive squares in 2 ways, for example, as 56610576 + 133402500 = 7524^2 + 11550^2 .

It is a super-2 number, since 2×1900130762 = 72209938101963552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190013071) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 788316 + ... + 788556.

Almost surely, 2190013076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190013076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266532266).

190013076 is an abundant number, since it is smaller than the sum of its proper divisors (343051456).

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

190013076 is a wasteful number, since it uses less digits than its factorization.

190013076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 190013076 is about 13784.5230603021. The cubic root of 190013076 is about 574.9028957636.

The spelling of 190013076 in words is "one hundred ninety million, thirteen thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 181 198 241 242 362 363 396 482 484 543 723 724 726 964 1086 1089 1446 1452 1629 1991 2169 2172 2178 2651 2892 3258 3982 4338 4356 5302 5973 6516 7953 7964 8676 10604 11946 15906 17919 21901 23859 23892 29161 31812 35838 43621 43802 47718 58322 65703 71676 87242 87483 87604 95436 116644 130863 131406 174484 174966 197109 261726 262449 262812 349932 392589 394218 479831 523452 524898 785178 788436 959662 1049796 1439493 1570356 1919324 2878986 4318479 5278141 5757972 8636958 10556282 15834423 17273916 21112564 31668846 47503269 63337692 95006538 190013076