Search a number
-
+
1065220674 = 237196179277
BaseRepresentation
bin111111011111011…
…111101001000010
32202020101211001120
4333133133221002
54140144030144
6253411213110
735253140430
oct7737375102
92666354046
101065220674
114a7320071
122588a7196
1313c8c44bb
14a1687d50
15637b5e19
hex3f7dfa42

1065220674 has 128 divisors (see below), whose sum is σ = 2647449600. Its totient is φ = 279002880.

The previous prime is 1065220649. The next prime is 1065220691. The reversal of 1065220674 is 4760225601.

It is a super-2 number, since 2×10652206742 = 2269390168634028552, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3845424 + ... + 3845700.

It is an arithmetic number, because the mean of its divisors is an integer number (20683200).

Almost surely, 21065220674 is an apocalyptic number.

1065220674 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1065220674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323724800).

1065220674 is an abundant number, since it is smaller than the sum of its proper divisors (1582228926).

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

1065220674 is a wasteful number, since it uses less digits than its factorization.

1065220674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1065220674 is about 32637.7185783565. The cubic root of 1065220674 is about 1021.2840019801.

The spelling of 1065220674 in words is "one billion, sixty-five million, two hundred twenty thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 61 79 114 122 133 158 183 237 266 277 366 399 427 474 553 554 798 831 854 1106 1159 1281 1501 1659 1662 1939 2318 2562 3002 3318 3477 3878 4503 4819 5263 5817 6954 8113 9006 9638 10507 10526 11634 14457 15789 16226 16897 21014 21883 24339 28914 31521 31578 33733 33794 36841 43766 48678 50691 63042 65649 67466 73682 91561 101199 101382 110523 118279 131298 153181 183122 202398 221046 236558 274683 306362 321043 354837 415777 459543 549366 640927 642086 709674 831554 919086 963129 1247331 1281854 1334863 1922781 1926258 2247301 2494662 2669726 2910439 3845562 4004589 4494602 5820878 6741903 8009178 8731317 9344041 13483806 17462634 18688082 25362397 28032123 50724794 56064246 76087191 152174382 177536779 355073558 532610337 1065220674