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119891052 = 223241431889
BaseRepresentation
bin1110010010101…
…10010001101100
322100121002121100
413021112101230
5221143003202
615521403100
72654025411
oct711262154
9270532540
10119891052
1161747a16
1234199490
131bab9468
1411ccc108
15a7d341c
hex725646c

119891052 has 72 divisors (see below), whose sum is σ = 317837520. Its totient is φ = 38062080.

The previous prime is 119891033. The next prime is 119891071. The reversal of 119891052 is 250198911.

It is an interprime number because it is at equal distance from previous prime (119891033) and next prime (119891071).

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 = 119890998 and 119891016.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 62524 + ... + 64412.

It is an arithmetic number, because the mean of its divisors is an integer number (4414410).

Almost surely, 2119891052 is an apocalyptic number.

119891052 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 119891052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158918760).

119891052 is an abundant number, since it is smaller than the sum of its proper divisors (197946468).

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

119891052 is a wasteful number, since it uses less digits than its factorization.

119891052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The square root of 119891052 is about 10949.4772477959. The cubic root of 119891052 is about 493.0930980726.

It can be divided in two parts, 11989 and 1052, that added together give a triangular number (13041 = T161).

The spelling of 119891052 in words is "one hundred nineteen million, eight hundred ninety-one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 43 82 86 123 129 164 172 246 258 369 387 492 516 738 774 1476 1548 1763 1889 3526 3778 5289 5667 7052 7556 10578 11334 15867 17001 21156 22668 31734 34002 63468 68004 77449 81227 154898 162454 232347 243681 309796 324908 464694 487362 697041 731043 929388 974724 1394082 1462086 2788164 2924172 3330307 6660614 9990921 13321228 19981842 29972763 39963684 59945526 119891052