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133189380 = 223351571571
BaseRepresentation
bin1111111000001…
…00111100000100
3100021121201111000
413330010330010
5233044030010
621114413300
73205043142
oct774047404
9307551430
10133189380
1169200175
1238731230
13217943ac
1413990592
15ba5d7c0
hex7f04f04

133189380 has 96 divisors (see below), whose sum is σ = 417271680. Its totient is φ = 35268480.

The previous prime is 133189369. The next prime is 133189391. The reversal of 133189380 is 83981331.

It is an interprime number because it is at equal distance from previous prime (133189369) and next prime (133189391).

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

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, 83995 + ... + 85565.

It is an arithmetic number, because the mean of its divisors is an integer number (4346580).

Almost surely, 2133189380 is an apocalyptic number.

133189380 is a gapful number since it is divisible by the number (10) 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 133189380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208635840).

133189380 is an abundant number, since it is smaller than the sum of its proper divisors (284082300).

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

133189380 is a wasteful number, since it uses less digits than its factorization.

133189380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 133189380 is about 11540.7703382400. The cubic root of 133189380 is about 510.6890340612.

The spelling of 133189380 in words is "one hundred thirty-three million, one hundred eighty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 157 180 270 314 471 540 628 785 942 1413 1570 1571 1884 2355 2826 3140 3142 4239 4710 4713 5652 6284 7065 7855 8478 9420 9426 14130 14139 15710 16956 18852 21195 23565 28260 28278 31420 42390 42417 47130 56556 70695 84780 84834 94260 141390 169668 212085 246647 282780 424170 493294 739941 848340 986588 1233235 1479882 2219823 2466470 2959764 3699705 4439646 4932940 6659469 7399410 8879292 11099115 13318938 14798820 22198230 26637876 33297345 44396460 66594690 133189380