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119693952 = 2732714843
BaseRepresentation
bin1110010001001…
…10001010000000
322100020002020100
413020212022000
5221120201302
615513242400
72652244650
oct710461200
9270202210
10119693952
1161622924
1234103400
131ba4a831
1411c7a360
15a794d1c
hex7226280

119693952 has 96 divisors (see below), whose sum is σ = 393662880. Its totient is φ = 34195968.

The previous prime is 119693947. The next prime is 119693953. The reversal of 119693952 is 259396911.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 119693898 and 119693907.

It is not an unprimeable number, because it can be changed into a prime (119693953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 643 + ... + 15485.

It is an arithmetic number, because the mean of its divisors is an integer number (4100655).

Almost surely, 2119693952 is an apocalyptic number.

119693952 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 119693952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196831440).

119693952 is an abundant number, since it is smaller than the sum of its proper divisors (273968928).

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

119693952 is a wasteful number, since it uses less digits than its factorization.

119693952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14870 (or 14855 counting only the distinct ones).

The product of its digits is 131220, while the sum is 45.

The square root of 119693952 is about 10940.4731159123. The cubic root of 119693952 is about 492.8227360624.

The spelling of 119693952 in words is "one hundred nineteen million, six hundred ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 14843 29686 44529 59372 89058 103901 118744 133587 178116 207802 237488 267174 311703 356232 415604 474976 534348 623406 712464 831208 935109 949952 1068696 1246812 1424928 1662416 1870218 1899904 2137392 2493624 2849856 3324832 3740436 4274784 4987248 5699712 6649664 7480872 8549568 9974496 13299328 14961744 17099136 19948992 29923488 39897984 59846976 119693952