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190090512 = 24323197439
BaseRepresentation
bin10110101010010…
…00110100010000
3111020200121011100
423111020310100
5342130344022
630510144400
74465512513
oct1325106420
9436617140
10190090512
11983348a7
12537b2100
13304c79c1
141b362d7a
1511a4d1ac
hexb548d10

190090512 has 120 divisors (see below), whose sum is σ = 556075520. Its totient is φ = 60549120.

The previous prime is 190090499. The next prime is 190090519. The reversal of 190090512 is 215090091.

It is a happy number.

It is a super-2 number, since 2×1900905122 = 72268805504844288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (190090519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432789 + ... + 433227.

Almost surely, 2190090512 is an apocalyptic number.

190090512 is a gapful number since it is divisible by the number (12) 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 190090512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278037760).

190090512 is an abundant number, since it is smaller than the sum of its proper divisors (365985008).

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

190090512 is a wasteful number, since it uses less digits than its factorization.

190090512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 190090512 is about 13787.3315764872. The cubic root of 190090512 is about 574.9809818537.

The spelling of 190090512 in words is "one hundred ninety million, ninety thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 97 124 144 186 194 248 279 291 372 388 439 496 558 582 744 776 873 878 1116 1164 1317 1488 1552 1746 1756 2232 2328 2634 3007 3492 3512 3951 4464 4656 5268 6014 6984 7024 7902 9021 10536 12028 13609 13968 15804 18042 21072 24056 27063 27218 31608 36084 40827 42583 48112 54126 54436 63216 72168 81654 85166 108252 108872 122481 127749 144336 163308 170332 216504 217744 244962 255498 326616 340664 383247 433008 489924 510996 653232 681328 766494 979848 1021992 1320073 1532988 1959696 2043984 2640146 3065976 3960219 5280292 6131952 7920438 10560584 11880657 15840876 21121168 23761314 31681752 47522628 63363504 95045256 190090512