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145270350 = 23252536091
BaseRepresentation
bin10001010100010…
…10011001001110
3101010100111110100
420222022121032
5244142122400
622225351530
73412530501
oct1052123116
9333314410
10145270350
1175001845
12407985a6
13241341b4
1415417138
15cb48100
hex8a8a64e

145270350 has 72 divisors (see below), whose sum is σ = 397722312. Its totient is φ = 38001600.

The previous prime is 145270319. The next prime is 145270357. The reversal of 145270350 is 53072541.

It is a happy number.

145270350 is a `hidden beast` number, since 1 + 45 + 270 + 350 = 666.

It is a super-3 number, since 3×1452703503 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145270357) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20805 + ... + 26895.

It is an arithmetic number, because the mean of its divisors is an integer number (5523921).

Almost surely, 2145270350 is an apocalyptic number.

145270350 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 145270350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198861156).

145270350 is an abundant number, since it is smaller than the sum of its proper divisors (252451962).

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

145270350 is a wasteful number, since it uses less digits than its factorization.

145270350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6162 (or 6154 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 145270350 is about 12052.8150238855. The cubic root of 145270350 is about 525.6850920037.

The spelling of 145270350 in words is "one hundred forty-five million, two hundred seventy thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 53 75 90 106 150 159 225 265 318 450 477 530 795 954 1325 1590 2385 2650 3975 4770 6091 7950 11925 12182 18273 23850 30455 36546 54819 60910 91365 109638 152275 182730 274095 304550 322823 456825 548190 645646 913650 968469 1370475 1614115 1936938 2740950 2905407 3228230 4842345 5810814 8070575 9684690 14527035 16141150 24211725 29054070 48423450 72635175 145270350