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190050640 = 24513214057
BaseRepresentation
bin10110101001111…
…11000101010000
3111020121120110121
423110333011100
5342123110030
630505240024
74465255333
oct1324770520
9436546417
10190050640
119830794a
1253793014
13304b2800
141b35261a
1511a4147a
hexb53f150

190050640 has 60 divisors (see below), whose sum is σ = 478506204. Its totient is φ = 70167552.

The previous prime is 190050629. The next prime is 190050671. The reversal of 190050640 is 46050091.

190050640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 91087936 + 98962704 = 9544^2 + 9948^2 .

It is a super-2 number, since 2×1900506402 = 72238491528819200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6492 + ... + 20548.

Almost surely, 2190050640 is an apocalyptic number.

190050640 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 190050640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239253102).

190050640 is an abundant number, since it is smaller than the sum of its proper divisors (288455564).

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

190050640 is a wasteful number, since it uses less digits than its factorization.

190050640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14096 (or 14077 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 190050640 is about 13785.8855355759. The cubic root of 190050640 is about 574.9407777695.

The spelling of 190050640 in words is "one hundred ninety million, fifty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1690 2704 3380 6760 13520 14057 28114 56228 70285 112456 140570 182741 224912 281140 365482 562280 730964 913705 1124560 1461928 1827410 2375633 2923856 3654820 4751266 7309640 9502532 11878165 14619280 19005064 23756330 38010128 47512660 95025320 190050640