Search a number
-
+
119288052 = 223413127223
BaseRepresentation
bin1110001110000…
…11000011110100
322022110110110000
413013003003310
5221014204202
615500431300
72645634402
oct707030364
9268413400
10119288052
1161375974
1233b48530
131b937b60
1411bb2472
15a71491c
hex71c30f4

119288052 has 120 divisors (see below), whose sum is σ = 339992576. Its totient is φ = 36251712.

The previous prime is 119288047. The next prime is 119288053. The reversal of 119288052 is 250882911.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 119287998 and 119288016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119288053) 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 39 ways as a sum of consecutive naturals, for example, 534813 + ... + 535035.

Almost surely, 2119288052 is an apocalyptic number.

119288052 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 119288052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169996288).

119288052 is an abundant number, since it is smaller than the sum of its proper divisors (220704524).

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

119288052 is a wasteful number, since it uses less digits than its factorization.

119288052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 119288052 is about 10921.9069763480. The cubic root of 119288052 is about 492.2650267537.

The spelling of 119288052 in words is "one hundred nineteen million, two hundred eighty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 127 156 162 223 234 254 324 351 381 446 468 508 669 702 762 892 1053 1143 1338 1404 1524 1651 2007 2106 2286 2676 2899 3302 3429 4014 4212 4572 4953 5798 6021 6604 6858 8028 8697 9906 10287 11596 12042 13716 14859 17394 18063 19812 20574 24084 26091 28321 29718 34788 36126 41148 44577 52182 56642 59436 72252 78273 84963 89154 104364 113284 133731 156546 169926 178308 234819 254889 267462 313092 339852 368173 469638 509778 534924 736346 764667 939276 1019556 1104519 1472692 1529334 2209038 2294001 3058668 3313557 4418076 4588002 6627114 9176004 9940671 13254228 19881342 29822013 39762684 59644026 119288052