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145103076 = 22391997
BaseRepresentation
bin10001010011000…
…01100011100100
3101010001000000000
420221201203210
5244121244301
622222021300
73411233016
oct1051414344
9333030000
10145103076
11749a80a8
1240717830
13240a6011
14153b21b6
15cb13786
hex8a618e4

145103076 has 120 divisors (see below), whose sum is σ = 405069280. Its totient is φ = 45349632.

The previous prime is 145103071. The next prime is 145103081. The reversal of 145103076 is 670301541.

It is an interprime number because it is at equal distance from previous prime (145103071) and next prime (145103081).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (145103071) 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 39 ways as a sum of consecutive naturals, for example, 1495860 + ... + 1495956.

Almost surely, 2145103076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145103076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202534640).

145103076 is an abundant number, since it is smaller than the sum of its proper divisors (259966204).

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

145103076 is an frugal number, since it uses more digits than its factorization.

145103076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 145103076 is about 12045.8738163738. The cubic root of 145103076 is about 525.4832448488.

The spelling of 145103076 in words is "one hundred forty-five million, one hundred three thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 97 108 114 162 171 194 228 243 291 324 342 388 486 513 582 684 729 873 972 1026 1164 1458 1539 1746 1843 2052 2187 2619 2916 3078 3492 3686 4374 4617 5238 5529 6156 6561 7372 7857 8748 9234 10476 11058 13122 13851 15714 16587 18468 19683 22116 23571 26244 27702 31428 33174 39366 41553 47142 49761 55404 66348 70713 78732 83106 94284 99522 124659 141426 149283 166212 199044 212139 249318 282852 298566 373977 424278 447849 498636 597132 636417 747954 848556 895698 1272834 1343547 1495908 1791396 1909251 2545668 2687094 3818502 4030641 5374188 7637004 8061282 12091923 16122564 24183846 36275769 48367692 72551538 145103076