Search a number
-
+
145602912 = 25372132381
BaseRepresentation
bin10001010110110…
…11100101100000
3101010222101122110
420223123211200
5244233243122
622240435320
73415414200
oct1053334540
9333871573
10145602912
1175209694
1240918b40
132421c690
14154a2400
15cbb190c
hex8adb960

145602912 has 144 divisors (see below), whose sum is σ = 479010672. Its totient is φ = 38384640.

The previous prime is 145602893. The next prime is 145602923. The reversal of 145602912 is 219206541.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 145602912.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 59962 + ... + 62342.

It is an arithmetic number, because the mean of its divisors is an integer number (3326463).

Almost surely, 2145602912 is an apocalyptic number.

145602912 is a gapful number since it is divisible by the number (12) 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 145602912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239505336).

145602912 is an abundant number, since it is smaller than the sum of its proper divisors (333407760).

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

145602912 is a wasteful number, since it uses less digits than its factorization.

145602912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 145602912 is about 12066.6031674204. The cubic root of 145602912 is about 526.0859300499.

The spelling of 145602912 in words is "one hundred forty-five million, six hundred two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 364 392 416 546 588 624 637 672 728 784 1092 1176 1248 1274 1456 1568 1911 2184 2352 2381 2548 2912 3822 4368 4704 4762 5096 7143 7644 8736 9524 10192 14286 15288 16667 19048 20384 28572 30576 30953 33334 38096 50001 57144 61152 61906 66668 76192 92859 100002 114288 116669 123812 133336 185718 200004 216671 228576 233338 247624 266672 350007 371436 400008 433342 466676 495248 533344 650013 700014 742872 800016 866684 933352 990496 1300026 1400028 1485744 1516697 1600032 1733368 1866704 2600052 2800056 2971488 3033394 3466736 3733408 4550091 5200104 5600112 6066788 6933472 9100182 10400208 11200224 12133576 18200364 20800416 24267152 36400728 48534304 72801456 145602912