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119200830 = 23572131619
BaseRepresentation
bin1110001101011…
…01110000111110
322022022000210120
413012231300332
5221003411310
615454515410
72645122200
oct706556076
9268260716
10119200830
1161316391
1233b05b66
131b907248
1411b8c770
15a6e8b70
hex71adc3e

119200830 has 96 divisors (see below), whose sum is σ = 335871360. Its totient is φ = 26994240.

The previous prime is 119200811. The next prime is 119200831. The reversal of 119200830 is 38002911.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 119200830.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119200831) 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, 192261 + ... + 192879.

It is an arithmetic number, because the mean of its divisors is an integer number (3498660).

Almost surely, 2119200830 is an apocalyptic number.

119200830 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 119200830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167935680).

119200830 is an abundant number, since it is smaller than the sum of its proper divisors (216670530).

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

119200830 is a wasteful number, since it uses less digits than its factorization.

119200830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 119200830 is about 10917.9132621577. The cubic root of 119200830 is about 492.1450180618.

The spelling of 119200830 in words is "one hundred nineteen million, two hundred thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 131 147 210 245 262 294 393 490 619 655 735 786 917 1238 1310 1470 1834 1857 1965 2751 3095 3714 3930 4333 4585 5502 6190 6419 8666 9170 9285 12838 12999 13755 18570 19257 21665 25998 27510 30331 32095 38514 43330 60662 64190 64995 81089 90993 96285 129990 151655 162178 181986 192570 243267 303310 405445 454965 486534 567623 810890 909930 1135246 1216335 1702869 2432670 2838115 3405738 3973361 5676230 7946722 8514345 11920083 17028690 19866805 23840166 39733610 59600415 119200830