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145234100 = 225211196949
BaseRepresentation
bin10001010100000…
…01100010110100
3101010021122201202
420222001202310
5244134442400
622224512032
73412320014
oct1052014264
9333248652
10145234100
1174a87590
124077b618
132412084b
1415407c44
15cb3c4d5
hex8a818b4

145234100 has 72 divisors (see below), whose sum is σ = 361956000. Its totient is φ = 50025600.

The previous prime is 145234099. The next prime is 145234127. The reversal of 145234100 is 1432541.

145234100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17426 + ... + 24374.

Almost surely, 2145234100 is an apocalyptic number.

145234100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145234100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180978000).

145234100 is an abundant number, since it is smaller than the sum of its proper divisors (216721900).

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

145234100 is a wasteful number, since it uses less digits than its factorization.

145234100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6993 (or 6986 counting only the distinct ones).

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

The square root of 145234100 is about 12051.3111319889. The cubic root of 145234100 is about 525.6413628007.

Adding to 145234100 its reverse (1432541), we get a palindrome (146666641).

The spelling of 145234100 in words is "one hundred forty-five million, two hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 4180 5225 6949 10450 13898 20900 27796 34745 69490 76439 132031 138980 152878 173725 264062 305756 347450 382195 528124 660155 694900 764390 1320310 1452341 1528780 1910975 2640620 2904682 3300775 3821950 5809364 6601550 7261705 7643900 13203100 14523410 29046820 36308525 72617050 145234100