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145547010 = 23357531453
BaseRepresentation
bin10001010110011…
…01111100000010
3101010212112222000
420223031330002
5244230001020
622235324430
73415062210
oct1053157402
9333775860
10145547010
1175180694
12408b0716
13242000bb
1415489cb0
15cba0090
hex8acdf02

145547010 has 128 divisors (see below), whose sum is σ = 452252160. Its totient is φ = 32617728.

The previous prime is 145546963. The next prime is 145547029. The reversal of 145547010 is 10745541.

It is a happy number.

145547010 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 (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99444 + ... + 100896.

It is an arithmetic number, because the mean of its divisors is an integer number (3533220).

Almost surely, 2145547010 is an apocalyptic number.

145547010 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 145547010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226126080).

145547010 is an abundant number, since it is smaller than the sum of its proper divisors (306705150).

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

145547010 is a wasteful number, since it uses less digits than its factorization.

145547010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 145547010 is about 12064.2865516366. The cubic root of 145547010 is about 526.0185938961.

The spelling of 145547010 in words is "one hundred forty-five million, five hundred forty-seven thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 53 54 63 70 90 105 106 126 135 159 189 210 265 270 315 318 371 378 477 530 630 742 795 945 954 1113 1431 1453 1590 1855 1890 2226 2385 2862 2906 3339 3710 4359 4770 5565 6678 7155 7265 8718 10017 10171 11130 13077 14310 14530 16695 20034 20342 21795 26154 30513 33390 39231 43590 50085 50855 61026 65385 77009 78462 91539 100170 101710 130770 152565 154018 183078 196155 231027 274617 305130 385045 392310 457695 462054 539063 549234 693081 770090 915390 1078126 1155135 1373085 1386162 1617189 2079243 2310270 2695315 2746170 3234378 3465405 4158486 4851567 5390630 6930810 8085945 9703134 10396215 14554701 16171890 20792430 24257835 29109402 48515670 72773505 145547010