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119100072 = 233713232371
BaseRepresentation
bin1110001100101…
…01001010101000
322022002220120210
413012111022220
5220442200242
615452421120
72644222350
oct706251250
9268086523
10119100072
1161257713
1233a777a0
131b8a0420
1411b63b60
15a6c8d9c
hex71952a8

119100072 has 128 divisors (see below), whose sum is σ = 382556160. Its totient is φ = 30032640.

The previous prime is 119100053. The next prime is 119100073. The reversal of 119100072 is 270001911.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (119100073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49047 + ... + 51417.

It is an arithmetic number, because the mean of its divisors is an integer number (2988720).

Almost surely, 2119100072 is an apocalyptic number.

119100072 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 119100072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191278080).

119100072 is an abundant number, since it is smaller than the sum of its proper divisors (263456088).

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

119100072 is a wasteful number, since it uses less digits than its factorization.

119100072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 119100072 is about 10913.2979433350. The cubic root of 119100072 is about 492.0063122992.

Adding to 119100072 its reverse (270001911), we get a palindrome (389101983).

The spelling of 119100072 in words is "one hundred nineteen million, one hundred thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 23 24 26 28 39 42 46 52 56 69 78 84 91 92 104 138 156 161 168 182 184 273 276 299 312 322 364 483 546 552 598 644 728 897 966 1092 1196 1288 1794 1932 2093 2184 2371 2392 3588 3864 4186 4742 6279 7113 7176 8372 9484 12558 14226 16597 16744 18968 25116 28452 30823 33194 49791 50232 54533 56904 61646 66388 92469 99582 109066 123292 132776 163599 184938 199164 215761 218132 246584 327198 369876 381731 398328 431522 436264 647283 654396 708929 739752 763462 863044 1145193 1294566 1308792 1417858 1526924 1726088 2126787 2290386 2589132 2835716 3053848 4253574 4580772 4962503 5178264 5671432 8507148 9161544 9925006 14887509 17014296 19850012 29775018 39700024 59550036 119100072