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119031552 = 2833171013
BaseRepresentation
bin1110001100001…
…00011100000000
322021222102121000
413012010130000
5220433002202
615451132000
72643515523
oct706043400
9267872530
10119031552
1161210192
1233a44000
131b878193
1411b46bba
15a6b391c
hex7184700

119031552 has 144 divisors (see below), whose sum is σ = 373070880. Its totient is φ = 37306368.

The previous prime is 119031541. The next prime is 119031559. The reversal of 119031552 is 255130911.

It is a tau number, because it is divible by the number of its divisors (144).

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 (119031559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116998 + ... + 118010.

It is an arithmetic number, because the mean of its divisors is an integer number (2590770).

Almost surely, 2119031552 is an apocalyptic number.

119031552 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 119031552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186535440).

119031552 is an abundant number, since it is smaller than the sum of its proper divisors (254039328).

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

119031552 is a wasteful number, since it uses less digits than its factorization.

119031552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 119031552 is about 10910.1582023360. The cubic root of 119031552 is about 491.9119414085.

The spelling of 119031552 in words is "one hundred nineteen million, thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 544 576 612 768 816 864 918 1013 1088 1152 1224 1632 1728 1836 2026 2176 2304 2448 3039 3264 3456 3672 4052 4352 4896 6078 6528 6912 7344 8104 9117 9792 12156 13056 14688 16208 17221 18234 19584 24312 27351 29376 32416 34442 36468 39168 48624 51663 54702 58752 64832 68884 72936 97248 103326 109404 117504 129664 137768 145872 154989 194496 206652 218808 259328 275536 291744 309978 388992 413304 437616 464967 551072 583488 619956 777984 826608 875232 929934 1102144 1166976 1239912 1653216 1750464 1859868 2204288 2333952 2479824 3306432 3500928 3719736 4408576 4959648 6612864 7001856 7439472 9919296 13225728 14878944 19838592 29757888 39677184 59515776 119031552