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190073088 = 2833107257
BaseRepresentation
bin10110101010001…
…00100100000000
3111020122201021000
423111010210000
5342124314323
630505532000
74465410642
oct1325044400
9436581230
10190073088
11983227a7
12537a4000
13304bcaaa
141b35a892
1511a47e43
hexb544900

190073088 has 144 divisors (see below), whose sum is σ = 569540160. Its totient is φ = 62521344.

The previous prime is 190073057. The next prime is 190073101. The reversal of 190073088 is 880370091.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1900730882 = 72255557563711488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 739456 + ... + 739712.

It is an arithmetic number, because the mean of its divisors is an integer number (3955140).

Almost surely, 2190073088 is an apocalyptic number.

190073088 is a gapful number since it is divisible by the number (18) 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 190073088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284770080).

190073088 is an abundant number, since it is smaller than the sum of its proper divisors (379467072).

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

190073088 is a wasteful number, since it uses less digits than its factorization.

190073088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 190073088 is about 13786.6996775878. The cubic root of 190073088 is about 574.9634134251.

The spelling of 190073088 in words is "one hundred ninety million, seventy-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 107 108 128 144 192 214 216 256 257 288 321 384 428 432 514 576 642 768 771 856 864 963 1028 1152 1284 1542 1712 1728 1926 2056 2304 2313 2568 2889 3084 3424 3456 3852 4112 4626 5136 5778 6168 6848 6912 6939 7704 8224 9252 10272 11556 12336 13696 13878 15408 16448 18504 20544 23112 24672 27392 27499 27756 30816 32896 37008 41088 46224 49344 54998 55512 61632 65792 74016 82176 82497 92448 98688 109996 111024 123264 148032 164994 184896 197376 219992 222048 246528 247491 296064 329988 369792 439984 444096 494982 592128 659976 739584 742473 879968 888192 989964 1319952 1484946 1759936 1776384 1979928 2639904 2969892 3519872 3959856 5279808 5939784 7039744 7919712 10559616 11879568 15839424 21119232 23759136 31678848 47518272 63357696 95036544 190073088