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7680003474 = 231113292571201
BaseRepresentation
bin1110010011100001…
…11000110110010010
3201211020021121012010
413021300320312102
5111212040102344
63310025043350
7361213644453
oct71160706622
921736247163
107680003474
113291186310
1215a4026556
13955163670
1452bdab12a
152ee38b8b9
hex1c9c38d92

7680003474 has 128 divisors (see below), whose sum is σ = 18755815680. Its totient is φ = 2064384000.

The previous prime is 7680003469. The next prime is 7680003479. The reversal of 7680003474 is 4743000867.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7680003469) and next prime (7680003479).

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 (7680003479) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6394074 + ... + 6395274.

It is an arithmetic number, because the mean of its divisors is an integer number (146529810).

Almost surely, 27680003474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7680003474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9377907840).

7680003474 is an abundant number, since it is smaller than the sum of its proper divisors (11075812206).

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

7680003474 is a wasteful number, since it uses less digits than its factorization.

7680003474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516.

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 7680003474 is about 87635.6290215344. The cubic root of 7680003474 is about 1972.9699569512.

The spelling of 7680003474 in words is "seven billion, six hundred eighty million, three thousand, four hundred seventy-four".

Divisors: 1 2 3 6 11 13 22 26 29 33 39 58 66 78 87 143 174 257 286 319 377 429 514 638 754 771 858 957 1131 1201 1542 1914 2262 2402 2827 3341 3603 4147 5654 6682 7206 7453 8294 8481 10023 12441 13211 14906 15613 16962 20046 22359 24882 26422 31226 34829 36751 39633 44718 46839 69658 73502 79266 81983 93678 96889 104487 110253 163966 171743 193778 208974 220506 245949 290667 308657 343486 383119 452777 491898 515229 581334 617314 766238 905554 925971 1030458 1065779 1149357 1358331 1851942 2131558 2298714 2716662 3197337 3395227 4012541 4980547 6394674 6790454 8025082 8951053 9961094 10185681 12037623 14941641 17902106 20371362 24075246 26853159 29883282 44137951 53706318 88275902 98461583 116363689 132413853 196923166 232727378 264827706 295384749 349091067 590769498 698182134 1280000579 2560001158 3840001737 7680003474