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119285952 = 2631921721
BaseRepresentation
bin1110001110000…
…10100011000000
322022110100120020
413013002203000
5221014122302
615500413440
72645625312
oct707024300
9268410506
10119285952
1161374335
1233b47280
131b936c06
1411bb17b2
15a713ebc
hex71c28c0

119285952 has 84 divisors (see below), whose sum is σ = 333289656. Its totient is φ = 37647360.

The previous prime is 119285939. The next prime is 119285977. The reversal of 119285952 is 259582911.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68452 + ... + 70172.

It is an arithmetic number, because the mean of its divisors is an integer number (3967734).

Almost surely, 2119285952 is an apocalyptic number.

119285952 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 119285952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166644828).

119285952 is an abundant number, since it is smaller than the sum of its proper divisors (214003704).

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

119285952 is a wasteful number, since it uses less digits than its factorization.

119285952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1745 counting only the distinct ones).

The product of its digits is 64800, while the sum is 42.

The square root of 119285952 is about 10921.8108388673. The cubic root of 119285952 is about 492.2621380525.

It can be divided in two parts, 1192859 and 52, that added together give a palindrome (1192911).

The spelling of 119285952 in words is "one hundred nineteen million, two hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 361 456 608 722 912 1083 1216 1444 1721 1824 2166 2888 3442 3648 4332 5163 5776 6884 8664 10326 11552 13768 17328 20652 23104 27536 32699 34656 41304 55072 65398 69312 82608 98097 110144 130796 165216 196194 261592 330432 392388 523184 621281 784776 1046368 1242562 1569552 1863843 2092736 2485124 3139104 3727686 4970248 6278208 7455372 9940496 14910744 19880992 29821488 39761984 59642976 119285952