Search a number
-
+
119020590 = 23451389127
BaseRepresentation
bin1110001100000…
…01110000101110
322021221212120000
413012001300232
5220432124330
615451005130
72643441543
oct706016056
9267855500
10119020590
1161202a27
1233a397a6
131b8731b0
1411b42bca
15a6b0560
hex7181c2e

119020590 has 160 divisors (see below), whose sum is σ = 351267840. Its totient is φ = 28740096.

The previous prime is 119020571. The next prime is 119020597. The reversal of 119020590 is 95020911.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119020597) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 937107 + ... + 937233.

It is an arithmetic number, because the mean of its divisors is an integer number (2195424).

Almost surely, 2119020590 is an apocalyptic number.

119020590 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 119020590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175633920).

119020590 is an abundant number, since it is smaller than the sum of its proper divisors (232247250).

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

119020590 is a wasteful number, since it uses less digits than its factorization.

119020590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 119020590 is about 10909.6558149192. The cubic root of 119020590 is about 491.8968403585.

The spelling of 119020590 in words is "one hundred nineteen million, twenty thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 89 90 117 127 130 135 162 178 195 234 254 267 270 351 381 390 405 445 534 585 635 702 762 801 810 890 1053 1143 1157 1170 1270 1335 1602 1651 1755 1905 2106 2286 2314 2403 2670 3302 3429 3471 3510 3810 4005 4806 4953 5265 5715 5785 6858 6942 7209 8010 8255 9906 10287 10413 10530 11303 11430 11570 12015 14418 14859 16510 17145 17355 20574 20826 22606 24030 24765 29718 31239 33909 34290 34710 36045 44577 49530 51435 52065 56515 62478 67818 72090 74295 89154 93717 101727 102870 104130 113030 133731 146939 148590 156195 169545 187434 203454 222885 267462 293878 305181 312390 339090 440817 445770 468585 508635 610362 668655 734695 881634 915543 937170 1017270 1322451 1337310 1469390 1525905 1831086 2204085 2644902 3051810 3967353 4408170 4577715 6612255 7934706 9155430 11902059 13224510 19836765 23804118 39673530 59510295 119020590