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146455050 = 235271011381
BaseRepresentation
bin10001011101010…
…11101000001010
3101012120200120010
420232223220022
5244443030200
622311012350
73425563440
oct1056535012
9335520503
10146455050
1175740935
124106a0b6
132445a4c1
1415644b90
15ccce150
hex8baba0a

146455050 has 96 divisors (see below), whose sum is σ = 419508864. Its totient is φ = 33120000.

The previous prime is 146455013. The next prime is 146455069. The reversal of 146455050 is 50554641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 146454999 and 146455017.

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 47 ways as a sum of consecutive naturals, for example, 105360 + ... + 106740.

It is an arithmetic number, because the mean of its divisors is an integer number (4369884).

Almost surely, 2146455050 is an apocalyptic number.

146455050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146455050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209754432).

146455050 is an abundant number, since it is smaller than the sum of its proper divisors (273053814).

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

146455050 is a wasteful number, since it uses less digits than its factorization.

146455050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 146455050 is about 12101.8614270698. The cubic root of 146455050 is about 527.1102367009.

The spelling of 146455050 in words is "one hundred forty-six million, four hundred fifty-five thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 101 105 150 175 202 210 303 350 505 525 606 707 1010 1050 1381 1414 1515 2121 2525 2762 3030 3535 4143 4242 5050 6905 7070 7575 8286 9667 10605 13810 15150 17675 19334 20715 21210 29001 34525 35350 41430 48335 53025 58002 69050 96670 103575 106050 139481 145005 207150 241675 278962 290010 418443 483350 697405 725025 836886 976367 1394810 1450050 1952734 2092215 2929101 3487025 4184430 4881835 5858202 6974050 9763670 10461075 14645505 20922150 24409175 29291010 48818350 73227525 146455050