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189077130 = 232511331577
BaseRepresentation
bin10110100010100…
…01011010001010
3111011210010001200
423101101122022
5341400432010
630432325030
74454062164
oct1321213212
9434703050
10189077130
11978024a0
12533a3776
1330231678
141b17b934
15118eccc0
hexb45168a

189077130 has 96 divisors (see below), whose sum is σ = 538843968. Its totient is φ = 45619200.

The previous prime is 189077093. The next prime is 189077131. The reversal of 189077130 is 31770981.

It is a super-2 number, since 2×1890771302 = 71500322178073800, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (189077131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327402 + ... + 327978.

It is an arithmetic number, because the mean of its divisors is an integer number (5612958).

Almost surely, 2189077130 is an apocalyptic number.

189077130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 189077130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269421984).

189077130 is an abundant number, since it is smaller than the sum of its proper divisors (349766838).

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

189077130 is a wasteful number, since it uses less digits than its factorization.

189077130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 189077130 is about 13750.5319897086. The cubic root of 189077130 is about 573.9574100253.

The spelling of 189077130 in words is "one hundred eighty-nine million, seventy-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 331 495 577 662 990 993 1154 1655 1731 1986 2885 2979 3310 3462 3641 4965 5193 5770 5958 6347 7282 8655 9930 10386 10923 12694 14895 17310 18205 19041 21846 25965 29790 31735 32769 36410 38082 51930 54615 57123 63470 65538 95205 109230 114246 163845 190410 190987 285615 327690 381974 571230 572961 954935 1145922 1718883 1909870 2100857 2864805 3437766 4201714 5729610 6302571 8594415 10504285 12605142 17188830 18907713 21008570 31512855 37815426 63025710 94538565 189077130