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119403072 = 263431743
BaseRepresentation
bin1110001110111…
…11001001000000
322022200022020000
413013133021000
5221031344242
615503120000
72646623625
oct707371100
9268608200
10119403072
1161444328
1233ba3000
131b978309
1411c0234c
15a738a4c
hex71df240

119403072 has 140 divisors (see below), whose sum is σ = 365857536. Its totient is φ = 38465280.

The previous prime is 119403071. The next prime is 119403113. The reversal of 119403072 is 270304911.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (119403071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 160333 + ... + 161075.

Almost surely, 2119403072 is an apocalyptic number.

119403072 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 119403072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182928768).

119403072 is an abundant number, since it is smaller than the sum of its proper divisors (246454464).

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

119403072 is an equidigital number, since it uses as much as digits as its factorization.

119403072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 119403072 is about 10927.1712716512. The cubic root of 119403072 is about 492.4231932927.

Adding to 119403072 its reverse (270304911), we get a palindrome (389707983).

The spelling of 119403072 in words is "one hundred nineteen million, four hundred three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 248 279 288 324 372 432 496 558 576 648 743 744 837 864 992 1116 1296 1486 1488 1674 1728 1984 2229 2232 2511 2592 2972 2976 3348 4458 4464 5022 5184 5944 5952 6687 6696 8916 8928 10044 11888 13374 13392 17832 17856 20061 20088 23033 23776 26748 26784 35664 40122 40176 46066 47552 53496 53568 60183 69099 71328 80244 80352 92132 106992 120366 138198 142656 160488 160704 184264 207297 213984 240732 276396 320976 368528 414594 427968 481464 552792 621891 641952 737056 829188 962928 1105584 1243782 1283904 1474112 1658376 1865673 1925856 2211168 2487564 3316752 3731346 3851712 4422336 4975128 6633504 7462692 9950256 13267008 14925384 19900512 29850768 39801024 59701536 119403072