Search a number
-
+
147113340 = 2235111371627
BaseRepresentation
bin10001100010011…
…00010101111100
3101020211010120020
420301030111330
5300130111330
622333052140
73434304603
oct1061142574
9336733506
10147113340
1176050480
1241327050
132462b01a
1415776a3a
15cdae210
hex8c4c57c

147113340 has 96 divisors (see below), whose sum is σ = 452922624. Its totient is φ = 35381760.

The previous prime is 147113311. The next prime is 147113341. The reversal of 147113340 is 43311741.

It is a self number, because there is not a number n which added to its sum of digits gives 147113340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147113341) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 89607 + ... + 91233.

It is an arithmetic number, because the mean of its divisors is an integer number (4717944).

Almost surely, 2147113340 is an apocalyptic number.

147113340 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 147113340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226461312).

147113340 is an abundant number, since it is smaller than the sum of its proper divisors (305809284).

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

147113340 is a wasteful number, since it uses less digits than its factorization.

147113340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 147113340 is about 12129.0288152020. The cubic root of 147113340 is about 527.8988126801.

The spelling of 147113340 in words is "one hundred forty-seven million, one hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 137 165 220 274 330 411 548 660 685 822 1370 1507 1627 1644 2055 2740 3014 3254 4110 4521 4881 6028 6508 7535 8135 8220 9042 9762 15070 16270 17897 18084 19524 22605 24405 30140 32540 35794 45210 48810 53691 71588 89485 90420 97620 107382 178970 214764 222899 268455 357940 445798 536910 668697 891596 1073820 1114495 1337394 2228990 2451889 2674788 3343485 4457980 4903778 6686970 7355667 9807556 12259445 13373940 14711334 24518890 29422668 36778335 49037780 73556670 147113340