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145212320 = 2551182507
BaseRepresentation
bin10001010011111…
…00001110100000
3101010020112212002
420221330032200
5244133243240
622224223132
73412166351
oct1051741640
9333215762
10145212320
1174a72190
124076aaa8
1324113966
14153ddd28
15cb35d15
hex8a7c3a0

145212320 has 48 divisors (see below), whose sum is σ = 374256288. Its totient is φ = 52803840.

The previous prime is 145212293. The next prime is 145212359. The reversal of 145212320 is 23212541.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 145212292 and 145212301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39494 + ... + 43013.

It is an arithmetic number, because the mean of its divisors is an integer number (7797006).

Almost surely, 2145212320 is an apocalyptic number.

145212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145212320 is an abundant number, since it is smaller than the sum of its proper divisors (229043968).

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

145212320 is a wasteful number, since it uses less digits than its factorization.

145212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82533 (or 82525 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 145212320 is about 12050.4074619907. The cubic root of 145212320 is about 525.6150855898.

Adding to 145212320 its reverse (23212541), we get a palindrome (168424861).

The spelling of 145212320 in words is "one hundred forty-five million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 82507 165014 330028 412535 660056 825070 907577 1320112 1650140 1815154 2640224 3300280 3630308 4537885 6600560 7260616 9075770 13201120 14521232 18151540 29042464 36303080 72606160 145212320