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145038210 = 23519534801
BaseRepresentation
bin10001010010100…
…01101110000010
3101002220201000120
420221101232002
5244112210320
622220401110
73410542632
oct1051215602
9332821016
10145038210
1174963399
12406a6196
1324082635
14153966c2
15caee440
hex8a51b82

145038210 has 64 divisors (see below), whose sum is σ = 373403520. Its totient is φ = 35942400.

The previous prime is 145038209. The next prime is 145038211. The reversal of 145038210 is 12830541.

It is an interprime number because it is at equal distance from previous prime (145038209) and next prime (145038211).

It is not an unprimeable number, because it can be changed into a prime (145038211) by changing a digit.

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, 27810 + ... + 32610.

It is an arithmetic number, because the mean of its divisors is an integer number (5834430).

Almost surely, 2145038210 is an apocalyptic number.

145038210 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 145038210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186701760).

145038210 is an abundant number, since it is smaller than the sum of its proper divisors (228365310).

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

145038210 is a wasteful number, since it uses less digits than its factorization.

145038210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4883.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 145038210 is about 12043.1810581756. The cubic root of 145038210 is about 525.4049302292.

Adding to 145038210 its reverse (12830541), we get a palindrome (157868751).

The spelling of 145038210 in words is "one hundred forty-five million, thirty-eight thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 53 57 95 106 114 159 190 265 285 318 530 570 795 1007 1590 2014 3021 4801 5035 6042 9602 10070 14403 15105 24005 28806 30210 48010 72015 91219 144030 182438 254453 273657 456095 508906 547314 763359 912190 1272265 1368285 1526718 2544530 2736570 3816795 4834607 7633590 9669214 14503821 24173035 29007642 48346070 72519105 145038210