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119416590 = 23254359523
BaseRepresentation
bin1110001111000…
…10011100001110
322022200222202200
413013202130032
5221032312330
615503302330
72650011216
oct707423416
9268628680
10119416590
11614534a7
1233baa9a6
131b981507
1411c07246
15a73ca60
hex71e270e

119416590 has 96 divisors (see below), whose sum is σ = 323706240. Its totient is φ = 30518208.

The previous prime is 119416573. The next prime is 119416663. The reversal of 119416590 is 95614911.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228069 + ... + 228591.

It is an arithmetic number, because the mean of its divisors is an integer number (3371940).

Almost surely, 2119416590 is an apocalyptic number.

119416590 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 119416590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161853120).

119416590 is an abundant number, since it is smaller than the sum of its proper divisors (204289650).

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

119416590 is a wasteful number, since it uses less digits than its factorization.

119416590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 119416590 is about 10927.7898039814. The cubic root of 119416590 is about 492.4417755213.

The spelling of 119416590 in words is "one hundred nineteen million, four hundred sixteen thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 59 86 90 118 129 177 215 258 295 354 387 430 523 531 590 645 774 885 1046 1062 1290 1569 1770 1935 2537 2615 2655 3138 3870 4707 5074 5230 5310 7611 7845 9414 12685 15222 15690 22489 22833 23535 25370 30857 38055 44978 45666 47070 61714 67467 76110 92571 112445 114165 134934 154285 185142 202401 224890 228330 277713 308570 337335 404802 462855 555426 674670 925710 1012005 1326851 1388565 2024010 2653702 2777130 3980553 6634255 7961106 11941659 13268510 19902765 23883318 39805530 59708295 119416590