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145955010 = 23523375717
BaseRepresentation
bin10001011001100…
…01100011000010
3101011122021122010
420230301203002
5244331030020
622252153350
73421411545
oct1054614302
9334567563
10145955010
117542a183
1240a68856
1324313a16
141555485c
15cc30de0
hex8b318c2

145955010 has 64 divisors (see below), whose sum is σ = 375466752. Its totient is φ = 36216576.

The previous prime is 145955009. The next prime is 145955021. The reversal of 145955010 is 10559541.

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

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 31 ways as a sum of consecutive naturals, for example, 22672 + ... + 28388.

It is an arithmetic number, because the mean of its divisors is an integer number (5866668).

Almost surely, 2145955010 is an apocalyptic number.

145955010 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 145955010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187733376).

145955010 is an abundant number, since it is smaller than the sum of its proper divisors (229511742).

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

145955010 is a wasteful number, since it uses less digits than its factorization.

145955010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5787.

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

The square root of 145955010 is about 12081.1841307051. The cubic root of 145955010 is about 526.5096502679.

The spelling of 145955010 in words is "one hundred forty-five million, nine hundred fifty-five thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 37 46 69 74 111 115 138 185 222 230 345 370 555 690 851 1110 1702 2553 4255 5106 5717 8510 11434 12765 17151 25530 28585 34302 57170 85755 131491 171510 211529 262982 394473 423058 634587 657455 788946 1057645 1269174 1314910 1972365 2115290 3172935 3944730 4865167 6345870 9730334 14595501 24325835 29191002 48651670 72977505 145955010