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145310850 = 23252973329
BaseRepresentation
bin10001010100101…
…00010010000010
3101010102120000100
420222110102002
5244144421400
622230303230
73413056536
oct1052242202
9333376010
10145310850
117502a213
12407b7b16
1324149769
1415427bc6
15cb55100
hex8a94482

145310850 has 72 divisors (see below), whose sum is σ = 394545060. Its totient is φ = 38338560.

The previous prime is 145310819. The next prime is 145310899. The reversal of 145310850 is 58013541.

It can be written as a sum of positive squares in 6 ways, for example, as 41332041 + 103978809 = 6429^2 + 10197^2 .

It is a super-2 number, since 2×1453108502 = 42230486255445000, which contains 22 as substring.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41986 + ... + 45314.

Almost surely, 2145310850 is an apocalyptic number.

145310850 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 145310850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197272530).

145310850 is an abundant number, since it is smaller than the sum of its proper divisors (249234210).

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

145310850 is a wasteful number, since it uses less digits than its factorization.

145310850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 145310850 is about 12054.4950122351. The cubic root of 145310850 is about 525.7339394756.

The spelling of 145310850 in words is "one hundred forty-five million, three hundred ten thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 97 150 194 225 291 450 485 582 873 970 1455 1746 2425 2910 3329 4365 4850 6658 7275 8730 9987 14550 16645 19974 21825 29961 33290 43650 49935 59922 83225 99870 149805 166450 249675 299610 322913 499350 645826 749025 968739 1498050 1614565 1937478 2906217 3229130 4843695 5812434 8072825 9687390 14531085 16145650 24218475 29062170 48436950 72655425 145310850