[go: up one dir, main page]

Search a number
-
+
145576704 = 2837132083
BaseRepresentation
bin10001010110101…
…01001100000000
3101010221001200210
420223111030000
5244231423304
622240114120
73415244610
oct1053251400
9333831623
10145576704
11751a0a29
1240905940
1324210780
1415496a40
15cba8c89
hex8ad5300

145576704 has 144 divisors (see below), whose sum is σ = 477085952. Its totient is φ = 38375424.

The previous prime is 145576703. The next prime is 145576709. The reversal of 145576704 is 407675541.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (145576703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68847 + ... + 70929.

Almost surely, 2145576704 is an apocalyptic number.

145576704 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 145576704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238542976).

145576704 is an abundant number, since it is smaller than the sum of its proper divisors (331509248).

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

145576704 is a wasteful number, since it uses less digits than its factorization.

145576704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 145576704 is about 12065.5171459826. The cubic root of 145576704 is about 526.0543636314.

The spelling of 145576704 in words is "one hundred forty-five million, five hundred seventy-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 896 1092 1248 1344 1456 1664 1792 2083 2184 2496 2688 2912 3328 4166 4368 4992 5376 5824 6249 8332 8736 9984 11648 12498 14581 16664 17472 23296 24996 27079 29162 33328 34944 43743 49992 54158 58324 66656 69888 81237 87486 99984 108316 116648 133312 162474 174972 189553 199968 216632 233296 266624 324948 349944 379106 399936 433264 466592 533248 568659 649896 699888 758212 799872 866528 933184 1137318 1299792 1399776 1516424 1599744 1733056 1866368 2274636 2599584 2799552 3032848 3466112 3732736 4549272 5199168 5599104 6065696 6932224 9098544 10398336 11198208 12131392 18197088 20796672 24262784 36394176 48525568 72788352 145576704