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145103504 = 24721323619
BaseRepresentation
bin10001010011000…
…01101010010000
3101010001000120212
420221201222100
5244121303004
622222023252
73411234200
oct1051415220
9333030525
10145103504
11749a8457
1240717b28
13240a6280
14153b2400
15cb1396e
hex8a61a90

145103504 has 120 divisors (see below), whose sum is σ = 368101440. Its totient is φ = 54819072.

The previous prime is 145103503. The next prime is 145103509. The reversal of 145103504 is 405301541.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 145103504.

It is not an unprimeable number, because it can be changed into a prime (145103503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234107 + ... + 234725.

It is an arithmetic number, because the mean of its divisors is an integer number (3067512).

Almost surely, 2145103504 is an apocalyptic number.

145103504 is a gapful number since it is divisible by the number (14) 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 145103504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184050720).

145103504 is an abundant number, since it is smaller than the sum of its proper divisors (222997936).

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

145103504 is a wasteful number, since it uses less digits than its factorization.

145103504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 145103504 is about 12045.8915817801. The cubic root of 145103504 is about 525.4837615082.

The spelling of 145103504 in words is "one hundred forty-five million, one hundred three thousand, five hundred four".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 49 52 56 91 92 98 104 112 161 182 184 196 208 299 322 364 368 392 598 619 637 644 728 784 1127 1196 1238 1274 1288 1456 2093 2254 2392 2476 2548 2576 4186 4333 4508 4784 4952 5096 8047 8372 8666 9016 9904 10192 14237 14651 16094 16744 17332 18032 28474 29302 30331 32188 33488 34664 56329 56948 58604 60662 64376 69328 99659 112658 113896 117208 121324 128752 185081 199318 225316 227792 234416 242648 370162 394303 398636 450632 485296 697613 740324 788606 797272 901264 1295567 1395226 1480648 1577212 1594544 2591134 2790452 2961296 3154424 5182268 5580904 6308848 9068969 10364536 11161808 18137938 20729072 36275876 72551752 145103504