Search a number
-
+
147318864 = 243711231733
BaseRepresentation
bin10001100011111…
…10100001010000
3101021012120111020
420301332201100
5300203200424
622341315440
73436122030
oct1061764120
9337176436
10147318864
1176180930
1241405b80
13246a0734
14157cb8c0
15ce00079
hex8c7e850

147318864 has 160 divisors (see below), whose sum is σ = 495396864. Its totient is φ = 36579840.

The previous prime is 147318839. The next prime is 147318893. The reversal of 147318864 is 468813741.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

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, 84142 + ... + 85874.

Almost surely, 2147318864 is an apocalyptic number.

147318864 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 147318864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247698432).

147318864 is an abundant number, since it is smaller than the sum of its proper divisors (348078000).

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

147318864 is a wasteful number, since it uses less digits than its factorization.

147318864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1779 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 147318864 is about 12137.4982595261. The cubic root of 147318864 is about 528.1445311405.

The spelling of 147318864 in words is "one hundred forty-seven million, three hundred eighteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 23 24 28 33 42 44 46 48 56 66 69 77 84 88 92 112 132 138 154 161 168 176 184 231 253 264 276 308 322 336 368 462 483 506 528 552 616 644 759 924 966 1012 1104 1232 1288 1518 1733 1771 1848 1932 2024 2576 3036 3466 3542 3696 3864 4048 5199 5313 6072 6932 7084 7728 10398 10626 12131 12144 13864 14168 19063 20796 21252 24262 27728 28336 36393 38126 39859 41592 42504 48524 57189 72786 76252 79718 83184 85008 97048 114378 119577 133441 145572 152504 159436 194096 228756 239154 266882 279013 291144 305008 318872 400323 438449 457512 478308 533764 558026 582288 637744 800646 837039 876898 915024 956616 1067528 1116052 1315347 1601292 1674078 1753796 1913232 2135056 2232104 2630694 3069143 3202584 3348156 3507592 4464208 5261388 6138286 6405168 6696312 7015184 9207429 10522776 12276572 13392624 18414858 21045552 24553144 36829716 49106288 73659432 147318864