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145102480 = 24517106693
BaseRepresentation
bin10001010011000…
…01011010010000
3101010000222011221
420221201122100
5244121234410
622222014424
73411231205
oct1051413220
9333028157
10145102480
11749a7706
1240717414
13240a5973
14153b1cac
15cb134da
hex8a61690

145102480 has 40 divisors (see below), whose sum is σ = 357211512. Its totient is φ = 54626304.

The previous prime is 145102471. The next prime is 145102501. The reversal of 145102480 is 84201541.

It can be written as a sum of positive squares in 4 ways, for example, as 30869136 + 114233344 = 5556^2 + 10688^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 51987 + ... + 54706.

Almost surely, 2145102480 is an apocalyptic number.

145102480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145102480 is an abundant number, since it is smaller than the sum of its proper divisors (212109032).

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

145102480 is a wasteful number, since it uses less digits than its factorization.

145102480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106723 (or 106717 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 145102480 is about 12045.8490775869. The cubic root of 145102480 is about 525.4825253868.

The spelling of 145102480 in words is "one hundred forty-five million, one hundred two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 106693 213386 426772 533465 853544 1066930 1707088 1813781 2133860 3627562 4267720 7255124 8535440 9068905 14510248 18137810 29020496 36275620 72551240 145102480