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146800000 = 2755367
BaseRepresentation
bin10001011111111…
…11110110000000
3101020020012202001
420233333312000
5300040100000
622322233344
73431531224
oct1057776600
9336205661
10146800000
1175957016
12411b5854
132454b509
14156d4784
15cd4b46a
hex8bffd80

146800000 has 96 divisors (see below), whose sum is σ = 366539040. Its totient is φ = 58560000.

The previous prime is 146799997. The next prime is 146800009. The reversal of 146800000 is 8641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146800009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399817 + ... + 400183.

It is an arithmetic number, because the mean of its divisors is an integer number (3818115).

Almost surely, 2146800000 is an apocalyptic number.

146800000 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 146800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183269520).

146800000 is an abundant number, since it is smaller than the sum of its proper divisors (219739040).

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

146800000 is an frugal number, since it uses more digits than its factorization.

146800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 146800000 is about 12116.1049846888. The cubic root of 146800000 is about 527.5237517663.

Adding to 146800000 its reverse (8641), we get a palindrome (146808641).

The spelling of 146800000 in words is "one hundred forty-six million, eight hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 367 400 500 625 640 734 800 1000 1250 1468 1600 1835 2000 2500 2936 3125 3200 3670 4000 5000 5872 6250 7340 8000 9175 10000 11744 12500 14680 16000 18350 20000 23488 25000 29360 36700 40000 45875 46976 50000 58720 73400 80000 91750 100000 117440 146800 183500 200000 229375 234880 293600 367000 400000 458750 587200 734000 917500 1146875 1174400 1468000 1835000 2293750 2936000 3670000 4587500 5872000 7340000 9175000 14680000 18350000 29360000 36700000 73400000 146800000