Search a number
-
+
119099136 = 2831379151
BaseRepresentation
bin1110001100101…
…00111100000000
322022002212022010
413012110330000
5220442133021
615452412520
72644216542
oct706247400
9268085263
10119099136
1161256a42
1233a77140
131b89cb80
1411b63692
15a6c8976
hex7194f00

119099136 has 144 divisors (see below), whose sum is σ = 347970560. Its totient is φ = 35942400.

The previous prime is 119099131. The next prime is 119099153. The reversal of 119099136 is 631990911.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 119099094 and 119099103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119099131) by changing a digit.

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, 788661 + ... + 788811.

Almost surely, 2119099136 is an apocalyptic number.

119099136 is a gapful number since it is divisible by the number (16) 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 119099136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173985280).

119099136 is an abundant number, since it is smaller than the sum of its proper divisors (228871424).

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

119099136 is a wasteful number, since it uses less digits than its factorization.

119099136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 39.

The square root of 119099136 is about 10913.2550597885. The cubic root of 119099136 is about 492.0050234136.

The spelling of 119099136 in words is "one hundred nineteen million, ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 79 96 104 128 151 156 158 192 208 237 256 302 312 316 384 416 453 474 604 624 632 768 832 906 948 1027 1208 1248 1264 1664 1812 1896 1963 2054 2416 2496 2528 3081 3328 3624 3792 3926 4108 4832 4992 5056 5889 6162 7248 7584 7852 8216 9664 9984 10112 11778 11929 12324 14496 15168 15704 16432 19328 20224 23556 23858 24648 28992 30336 31408 32864 35787 38656 47112 47716 49296 57984 60672 62816 65728 71574 94224 95432 98592 115968 125632 131456 143148 155077 188448 190864 197184 251264 262912 286296 310154 376896 381728 394368 465231 502528 572592 620308 753792 763456 788736 930462 1145184 1240616 1507584 1526912 1860924 2290368 2481232 3053824 3721848 4580736 4962464 7443696 9161472 9924928 14887392 19849856 29774784 39699712 59549568 119099136