Search a number
-
+
147671104 = 2674312
BaseRepresentation
bin10001100110101…
…00100001000000
3101021212110200011
420303110201000
5300300433404
622353034304
73442120000
oct1063244100
9337773604
10147671104
11763a1539
1241555994
1324794b69
1415880000
15ce6e604
hex8cd4840

147671104 has 105 divisors (see below), whose sum is σ = 353236911. Its totient is φ = 61246080.

The previous prime is 147671101. The next prime is 147671123. The reversal of 147671104 is 401176741.

The square root of 147671104 is 12152.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (147671101) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4763569 + ... + 4763599.

Almost surely, 2147671104 is an apocalyptic number.

147671104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

147671104 is the 12152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147671104

147671104 is an abundant number, since it is smaller than the sum of its proper divisors (205565807).

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

147671104 is an frugal number, since it uses more digits than its factorization.

147671104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The cubic root of 147671104 is about 528.5651280059.

The spelling of 147671104 in words is "one hundred forty-seven million, six hundred seventy-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 196 217 224 248 343 392 434 448 496 686 784 868 961 992 1372 1519 1568 1736 1922 1984 2401 2744 3038 3136 3472 3844 4802 5488 6076 6727 6944 7688 9604 10633 10976 12152 13454 13888 15376 19208 21266 21952 24304 26908 30752 38416 42532 47089 48608 53816 61504 74431 76832 85064 94178 97216 107632 148862 153664 170128 188356 215264 297724 329623 340256 376712 430528 595448 659246 680512 753424 1190896 1318492 1506848 2307361 2381792 2636984 3013696 4614722 4763584 5273968 9229444 10547936 18458888 21095872 36917776 73835552 147671104