Search a number
-
+
147371504 = 24717229157
BaseRepresentation
bin10001100100010…
…11010111110000
3101021022020200212
420302023113300
5300211342004
622342403252
73436431350
oct1062132760
9337266625
10147371504
1176207435
1241430528
13246bb697
1415802b60
15ce1096e
hex8c8b5f0

147371504 has 120 divisors (see below), whose sum is σ = 360884640. Its totient is φ = 57028608.

The previous prime is 147371503. The next prime is 147371531. The reversal of 147371504 is 405173741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147371503) 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 23 ways as a sum of consecutive naturals, for example, 938594 + ... + 938750.

It is an arithmetic number, because the mean of its divisors is an integer number (3007372).

Almost surely, 2147371504 is an apocalyptic number.

147371504 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 147371504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180442320).

147371504 is an abundant number, since it is smaller than the sum of its proper divisors (213513136).

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

147371504 is a wasteful number, since it uses less digits than its factorization.

147371504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 147371504 is about 12139.6665522575. Note that the first 3 decimals coincide. The cubic root of 147371504 is about 528.2074292122.

The spelling of 147371504 in words is "one hundred forty-seven million, three hundred seventy-one thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 29 34 56 58 68 112 116 119 136 157 203 232 238 272 289 314 406 464 476 493 578 628 812 952 986 1099 1156 1256 1624 1904 1972 2023 2198 2312 2512 2669 3248 3451 3944 4046 4396 4553 4624 5338 6902 7888 8092 8381 8792 9106 10676 13804 16184 16762 17584 18212 18683 21352 27608 31871 32368 33524 36424 37366 42704 45373 55216 58667 63742 67048 72848 74732 77401 90746 117334 127484 134096 149464 154802 181492 234668 254968 298928 309604 317611 362984 469336 509936 541807 619208 635222 725968 938672 1083614 1238416 1270444 1315817 2167228 2540888 2631634 4334456 5081776 5263268 8668912 9210719 10526536 18421438 21053072 36842876 73685752 147371504