Search a number
-
+
145323060 = 223529471777
BaseRepresentation
bin10001010100101…
…11010000110100
3101010110011202120
420222113100310
5244200314220
622230435540
73413140251
oct1052272064
9333404676
10145323060
1175038403
1240802bb0
132415219c
141542c428
15cb58a40
hex8a97434

145323060 has 96 divisors (see below), whose sum is σ = 430133760. Its totient is φ = 36599808.

The previous prime is 145323053. The next prime is 145323103. The reversal of 145323060 is 60323541.

It is a happy number.

It is a super-2 number, since 2×1453230602 = 42237583535527200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145323060.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80892 + ... + 82668.

It is an arithmetic number, because the mean of its divisors is an integer number (4480560).

Almost surely, 2145323060 is an apocalyptic number.

145323060 is a gapful number since it is divisible by the number (10) 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 145323060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215066880).

145323060 is an abundant number, since it is smaller than the sum of its proper divisors (284810700).

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

145323060 is a wasteful number, since it uses less digits than its factorization.

145323060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 145323060 is about 12055.0014516797. The cubic root of 145323060 is about 525.7486643031.

The spelling of 145323060 in words is "one hundred forty-five million, three hundred twenty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 47 58 60 87 94 116 141 145 174 188 235 282 290 348 435 470 564 580 705 870 940 1363 1410 1740 1777 2726 2820 3554 4089 5331 5452 6815 7108 8178 8885 10662 13630 16356 17770 20445 21324 26655 27260 35540 40890 51533 53310 81780 83519 103066 106620 154599 167038 206132 250557 257665 309198 334076 417595 501114 515330 618396 772995 835190 1002228 1030660 1252785 1545990 1670380 2422051 2505570 3091980 4844102 5011140 7266153 9688204 12110255 14532306 24220510 29064612 36330765 48441020 72661530 145323060