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119188992 = 2931347127
BaseRepresentation
bin1110001101010…
…10111000000000
322022021102120010
413012222320000
5221003021432
615454344520
72645042526
oct706527000
9268242503
10119188992
11613084aa
1233abb140
131b901a40
1411b88316
15a6e53cc
hex71aae00

119188992 has 160 divisors (see below), whose sum is σ = 351977472. Its totient is φ = 35610624.

The previous prime is 119188987. The next prime is 119189011. The reversal of 119188992 is 299881911.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (93312) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 938433 + ... + 938559.

Almost surely, 2119188992 is an apocalyptic number.

119188992 is a gapful number since it is divisible by the number (12) 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 119188992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175988736).

119188992 is an abundant number, since it is smaller than the sum of its proper divisors (232788480).

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

119188992 is a wasteful number, since it uses less digits than its factorization.

119188992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 192 counting only the distinct ones).

The product of its digits is 93312, while the sum is 48.

The square root of 119188992 is about 10917.3711121313. The cubic root of 119188992 is about 492.1287256540.

It can be divided in two parts, 11918 and 8992, that added together give a triangular number (20910 = T204).

The spelling of 119188992 in words is "one hundred nineteen million, one hundred eighty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 64 78 94 96 104 127 128 141 156 188 192 208 254 256 282 312 376 381 384 416 508 512 564 611 624 752 762 768 832 1016 1128 1222 1248 1504 1524 1536 1651 1664 1833 2032 2256 2444 2496 3008 3048 3302 3328 3666 4064 4512 4888 4953 4992 5969 6016 6096 6604 6656 7332 8128 9024 9776 9906 9984 11938 12032 12192 13208 14664 16256 17907 18048 19552 19812 19968 23876 24064 24384 26416 29328 32512 35814 36096 39104 39624 47752 48768 52832 58656 65024 71628 72192 77597 78208 79248 95504 97536 105664 117312 143256 155194 156416 158496 191008 195072 211328 232791 234624 286512 310388 312832 316992 382016 422656 465582 469248 573024 620776 633984 764032 845312 931164 938496 1146048 1241552 1267968 1528064 1862328 2292096 2483104 2535936 3056128 3724656 4584192 4966208 7449312 9168384 9932416 14898624 19864832 29797248 39729664 59594496 119188992