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148840000 = 2654612
BaseRepresentation
bin10001101111100…
…01111001000000
3101101001212002121
420313301321000
5301100340000
622434054024
73455055601
oct1067617100
9341055077
10148840000
117701a771
1241a1a314
1324ab3c0a
1415aa5da8
15d100b1a
hex8df1e40

148840000 has 105 divisors (see below), whose sum is σ = 375224421. Its totient is φ = 58560000.

The previous prime is 148839983. The next prime is 148840009. The reversal of 148840000 is 48841.

The square root of 148840000 is 12200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 147282496 + 1557504 = 12136^2 + 1248^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (148840009) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 2439970 + ... + 2440030.

Almost surely, 2148840000 is an apocalyptic number.

148840000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

148840000 is the 12200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148840000

148840000 is an abundant number, since it is smaller than the sum of its proper divisors (226384421).

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

148840000 is an frugal number, since it uses more digits than its factorization.

148840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The cubic root of 148840000 is about 529.9560898711.

Multiplying 148840000 by its sum of digits (25), we get a square (3721000000 = 610002).

148840000 divided by its sum of digits (25) gives a square (5953600 = 24402).

Multiplying 148840000 by its product of nonzero digits (1024), we get a square (152412160000 = 3904002).

Adding to 148840000 its reverse (48841), we get a palindrome (148888841).

Multiplying 148840000 by its reverse (48841), we get a square (7269494440000 = 26962002).

The spelling of 148840000 in words is "one hundred forty-eight million, eight hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 125 160 200 244 250 305 320 400 488 500 610 625 800 976 1000 1220 1250 1525 1600 1952 2000 2440 2500 3050 3721 3904 4000 4880 5000 6100 7442 7625 8000 9760 10000 12200 14884 15250 18605 19520 20000 24400 29768 30500 37210 38125 40000 48800 59536 61000 74420 76250 93025 97600 119072 122000 148840 152500 186050 238144 244000 297680 305000 372100 465125 488000 595360 610000 744200 930250 1190720 1220000 1488400 1860500 2325625 2440000 2976800 3721000 4651250 5953600 7442000 9302500 14884000 18605000 29768000 37210000 74420000 148840000