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641427640 = 23572734483
BaseRepresentation
bin100110001110110…
…110100010111000
31122200221220022021
4212032312202320
52303201141030
6143352004224
721616021300
oct4616664270
91580856267
10641427640
112aa084097
1215a990674
13a2b721a9
146128c600
153b4a297a
hex263b68b8

641427640 has 96 divisors (see below), whose sum is σ = 1702216080. Its totient is φ = 216857088.

The previous prime is 641427637. The next prime is 641427641. The reversal of 641427640 is 46724146.

641427640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6414276402 = 822858834711939200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 641427596 and 641427605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641427641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140839 + ... + 145321.

Almost surely, 2641427640 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 641427640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851108040).

641427640 is an abundant number, since it is smaller than the sum of its proper divisors (1060788440).

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

641427640 is a wasteful number, since it uses less digits than its factorization.

641427640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4581 (or 4570 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 641427640 is about 25326.4217764768. The cubic root of 641427640 is about 862.4141828780.

The spelling of 641427640 in words is "six hundred forty-one million, four hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 73 98 140 146 196 245 280 292 365 392 490 511 584 730 980 1022 1460 1960 2044 2555 2920 3577 4088 4483 5110 7154 8966 10220 14308 17885 17932 20440 22415 28616 31381 35770 35864 44830 62762 71540 89660 125524 143080 156905 179320 219667 251048 313810 327259 439334 627620 654518 878668 1098335 1255240 1309036 1636295 1757336 2196670 2290813 2618072 3272590 4393340 4581626 6545180 8786680 9163252 11454065 13090360 16035691 18326504 22908130 32071382 45816260 64142764 80178455 91632520 128285528 160356910 320713820 641427640