Search a number
-
+
10602034224 = 24317311073917
BaseRepresentation
bin10011101111110111…
…00011010000110000
31000100212121010211020
421313323203100300
5133203110043344
64512010215440
7523504542525
oct116773432060
930325533736
1010602034224
114550632261
12207a724580
13ccc648c42
147280b914c
15420b7d719
hex277ee3430

10602034224 has 160 divisors (see below), whose sum is σ = 30222637056. Its totient is φ = 3187937280.

The previous prime is 10602034199. The next prime is 10602034271. The reversal of 10602034224 is 42243020601.

It is a super-2 number, since 2×106020342242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10602034194 and 10602034203.

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, 2704714 + ... + 2708630.

Almost surely, 210602034224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10602034224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15111318528).

10602034224 is an abundant number, since it is smaller than the sum of its proper divisors (19620602832).

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

10602034224 is a wasteful number, since it uses less digits than its factorization.

10602034224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4083 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10602034224 its reverse (42243020601), we get a palindrome (52845054825).

The spelling of 10602034224 in words is "ten billion, six hundred two million, thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 107 124 136 186 204 214 248 272 321 372 408 428 496 527 642 744 816 856 1054 1284 1488 1581 1712 1819 2108 2568 3162 3317 3638 3917 4216 5136 5457 6324 6634 7276 7834 8432 9951 10914 11751 12648 13268 14552 15668 19902 21828 23502 25296 26536 29104 31336 39804 43656 47004 53072 56389 62672 66589 79608 87312 94008 112778 121427 133178 159216 169167 188016 199767 225556 242854 266356 338334 364281 399534 419119 451112 485708 532712 676668 728562 799068 838238 902224 971416 1065424 1257357 1353336 1457124 1598136 1676476 1942832 2064259 2514714 2706672 2914248 3196272 3352952 4128518 5029428 5828496 6192777 6705904 7125023 8257036 10058856 12385554 12992689 14250046 16514072 20117712 21375069 24771108 25985378 28500092 33028144 38978067 42750138 49542216 51970756 57000184 77956134 85500276 99084432 103941512 114000368 155912268 171000552 207883024 220875713 311824536 342001104 441751426 623649072 662627139 883502852 1325254278 1767005704 2650508556 3534011408 5301017112 10602034224