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641069460 = 2232531131877
BaseRepresentation
bin100110001101011…
…111000110010100
31122200021200222100
4212031133012110
52303103210320
6143340202100
721613000113
oct4615370624
91580250870
10641069460
112a9959a79
1215a839330
13a2a78155
14611d7c7a
153b431790
hex2635f194

641069460 has 144 divisors (see below), whose sum is σ = 2024934912. Its totient is φ = 163987200.

The previous prime is 641069459. The next prime is 641069509. The reversal of 641069460 is 64960146.

641069460 is a `hidden beast` number, since 641 + 0 + 6 + 9 + 4 + 6 + 0 = 666.

641069460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730542 + ... + 731418.

It is an arithmetic number, because the mean of its divisors is an integer number (14062048).

Almost surely, 2641069460 is an apocalyptic number.

641069460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641069460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012467456).

641069460 is an abundant number, since it is smaller than the sum of its proper divisors (1383865452).

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

641069460 is a wasteful number, since it uses less digits than its factorization.

641069460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 641069460 is about 25319.3495177108. The cubic root of 641069460 is about 862.2536259120.

The spelling of 641069460 in words is "six hundred forty-one million, sixty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 131 155 180 186 262 279 310 372 393 465 524 558 620 655 786 877 930 1116 1179 1310 1395 1572 1754 1860 1965 2358 2620 2631 2790 3508 3930 4061 4385 4716 5262 5580 5895 7860 7893 8122 8770 10524 11790 12183 13155 15786 16244 17540 20305 23580 24366 26310 27187 31572 36549 39465 40610 48732 52620 54374 60915 73098 78930 81220 81561 108748 114887 121830 135935 146196 157860 163122 182745 229774 243660 244683 271870 326244 344661 365490 407805 459548 489366 543740 574435 689322 730980 815610 978732 1033983 1148870 1223415 1378644 1631220 1723305 2067966 2297740 2446830 3446610 3561497 4135932 4893660 5169915 6893220 7122994 10339830 10684491 14245988 17807485 20679660 21368982 32053473 35614970 42737964 53422455 64106946 71229940 106844910 128213892 160267365 213689820 320534730 641069460