Search a number
-
+
147416000 = 265318427
BaseRepresentation
bin10001100100101…
…10001111000000
3101021101111201212
420302112033000
5300214303000
622343345252
73440005154
oct1062261700
9337344655
10147416000
1176237906
1241452228
1324705a04
1415815064
15ce1dc35
hex8c963c0

147416000 has 56 divisors (see below), whose sum is σ = 365095536. Its totient is φ = 58963200.

The previous prime is 147415991. The next prime is 147416011. The reversal of 147416000 is 614741.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1214 + ... + 17213.

Almost surely, 2147416000 is an apocalyptic number.

147416000 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 147416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182547768).

147416000 is an abundant number, since it is smaller than the sum of its proper divisors (217679536).

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

147416000 is an equidigital number, since it uses as much as digits as its factorization.

147416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18454 (or 18434 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 147416000 is about 12141.4990837211. The cubic root of 147416000 is about 528.2605845647.

The spelling of 147416000 in words is "one hundred forty-seven million, four hundred sixteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 18427 36854 73708 92135 147416 184270 294832 368540 460675 589664 737080 921350 1179328 1474160 1842700 2303375 2948320 3685400 4606750 5896640 7370800 9213500 14741600 18427000 29483200 36854000 73708000 147416000