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190027320 = 23357435261
BaseRepresentation
bin10110101001110…
…01011000111000
3111020120101110220
423110321120320
5342121333240
630504540040
74465130340
oct1324713070
9436511426
10190027320
11982a137a
1253781620
13304a5002
141b347d20
1511a395d0
hexb539638

190027320 has 128 divisors (see below), whose sum is σ = 666800640. Its totient is φ = 42416640.

The previous prime is 190027307. The next prime is 190027337. The reversal of 190027320 is 23720091.

190027320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1900273202 = 72220764692764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33490 + ... + 38750.

It is an arithmetic number, because the mean of its divisors is an integer number (5209380).

Almost surely, 2190027320 is an apocalyptic number.

190027320 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 190027320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333400320).

190027320 is an abundant number, since it is smaller than the sum of its proper divisors (476773320).

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

190027320 is a wasteful number, since it uses less digits than its factorization.

190027320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5325 (or 5321 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 190027320 is about 13785.0397170266. The cubic root of 190027320 is about 574.9172609368.

The spelling of 190027320 in words is "one hundred ninety million, twenty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 43 56 60 70 84 86 105 120 129 140 168 172 210 215 258 280 301 344 420 430 516 602 645 840 860 903 1032 1204 1290 1505 1720 1806 2408 2580 3010 3612 4515 5160 5261 6020 7224 9030 10522 12040 15783 18060 21044 26305 31566 36120 36827 42088 52610 63132 73654 78915 105220 110481 126264 147308 157830 184135 210440 220962 226223 294616 315660 368270 441924 452446 552405 631320 678669 736540 883848 904892 1104810 1131115 1357338 1473080 1583561 1809784 2209620 2262230 2714676 3167122 3393345 4419240 4524460 4750683 5429352 6334244 6786690 7917805 9048920 9501366 12668488 13573380 15835610 19002732 23753415 27146760 31671220 38005464 47506830 63342440 95013660 190027320