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119378148 = 223173143439
BaseRepresentation
bin1110001110110…
…01000011100100
322022122001000220
413013121003210
5221030100043
615502404340
72646461151
oct707310344
9268561026
10119378148
116142762a
1233b906b0
131b969b76
1411bd7228
15a731483
hex71d90e4

119378148 has 96 divisors (see below), whose sum is σ = 312238080. Its totient is φ = 35320320.

The previous prime is 119378137. The next prime is 119378177. The reversal of 119378148 is 841873911.

It is a super-3 number, since 3×1193781483 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 271713 + ... + 272151.

It is an arithmetic number, because the mean of its divisors is an integer number (3252480).

Almost surely, 2119378148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119378148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156119040).

119378148 is an abundant number, since it is smaller than the sum of its proper divisors (192859932).

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

119378148 is a wasteful number, since it uses less digits than its factorization.

119378148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 535 counting only the distinct ones).

The product of its digits is 48384, while the sum is 42.

The square root of 119378148 is about 10926.0307522906. The cubic root of 119378148 is about 492.3889283738.

The spelling of 119378148 in words is "one hundred nineteen million, three hundred seventy-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 17 31 34 43 51 62 68 86 93 102 124 129 172 186 204 258 372 439 516 527 731 878 1054 1317 1333 1462 1581 1756 2108 2193 2634 2666 2924 3162 3999 4386 5268 5332 6324 7463 7998 8772 13609 14926 15996 18877 22389 22661 27218 29852 37754 40827 44778 45322 54436 56631 67983 75508 81654 89556 90644 113262 135966 163308 226524 231353 271932 320909 462706 585187 641818 694059 925412 962727 1170374 1283636 1388118 1755561 1925454 2340748 2776236 3511122 3850908 7022244 9948179 19896358 29844537 39792716 59689074 119378148