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642563320 = 235747157311
BaseRepresentation
bin100110010011001…
…011110011111000
31122210002121011111
4212103023303320
52303444011240
6143432210104
721631461310
oct4623136370
91583077144
10642563320
112aa78a373
1215b239934
13a317c0a9
14614a6440
153b6291ea
hex264cbcf8

642563320 has 128 divisors (see below), whose sum is σ = 1703669760. Its totient is φ = 213557760.

The previous prime is 642563279. The next prime is 642563329. The reversal of 642563320 is 23365246.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642563329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2065965 + ... + 2066275.

It is an arithmetic number, because the mean of its divisors is an integer number (13309920).

Almost surely, 2642563320 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 642563320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851834880).

642563320 is an abundant number, since it is smaller than the sum of its proper divisors (1061106440).

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

642563320 is a wasteful number, since it uses less digits than its factorization.

642563320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 642563320 is about 25348.8327147425. The cubic root of 642563320 is about 862.9228653880.

It can be divided in two parts, 64256 and 3320, that added together give a palindrome (67576).

The spelling of 642563320 in words is "six hundred forty-two million, five hundred sixty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 157 188 235 280 311 314 329 376 470 622 628 658 785 940 1099 1244 1256 1316 1555 1570 1645 1880 2177 2198 2488 2632 3110 3140 3290 4354 4396 5495 6220 6280 6580 7379 8708 8792 10885 10990 12440 13160 14617 14758 17416 21770 21980 29234 29516 36895 43540 43960 48827 51653 58468 59032 73085 73790 87080 97654 102319 103306 116936 146170 147580 195308 204638 206612 244135 258265 292340 295160 341789 390616 409276 413224 488270 511595 516530 584680 683578 818552 976540 1023190 1033060 1367156 1708945 1953080 2046380 2066120 2294869 2734312 3417890 4092760 4589738 6835780 9179476 11474345 13671560 16064083 18358952 22948690 32128166 45897380 64256332 80320415 91794760 128512664 160640830 321281660 642563320