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145951050 = 23527971433
BaseRepresentation
bin10001011001100…
…00100101001010
3101011122002012110
420230300211022
5244330413200
622252123150
73421364160
oct1054604512
9334562173
10145951050
1175427203
1240a664b6
1324311c8b
1415553230
15cc2eb50
hex8b3094a

145951050 has 96 divisors (see below), whose sum is σ = 418223232. Its totient is φ = 32993280.

The previous prime is 145951049. The next prime is 145951063. The reversal of 145951050 is 50159541.

It is a super-2 number, since 2×1459510502 = 42603417992205000, which contains 22 as substring.

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 = 145950999 and 145951017.

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 47 ways as a sum of consecutive naturals, for example, 101134 + ... + 102566.

It is an arithmetic number, because the mean of its divisors is an integer number (4356492).

Almost surely, 2145951050 is an apocalyptic number.

145951050 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 145951050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209111616).

145951050 is an abundant number, since it is smaller than the sum of its proper divisors (272272182).

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

145951050 is a wasteful number, since it uses less digits than its factorization.

145951050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The square root of 145951050 is about 12081.0202383739. The cubic root of 145951050 is about 526.5048885333.

The spelling of 145951050 in words is "one hundred forty-five million, nine hundred fifty-one thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 97 105 150 175 194 210 291 350 485 525 582 679 970 1050 1358 1433 1455 2037 2425 2866 2910 3395 4074 4299 4850 6790 7165 7275 8598 10031 10185 14330 14550 16975 20062 20370 21495 30093 33950 35825 42990 50155 50925 60186 71650 100310 101850 107475 139001 150465 214950 250775 278002 300930 417003 501550 695005 752325 834006 973007 1390010 1504650 1946014 2085015 2919021 3475025 4170030 4865035 5838042 6950050 9730070 10425075 14595105 20850150 24325175 29190210 48650350 72975525 145951050