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64054620 = 223257291753
BaseRepresentation
bin1111010001011…
…0010101011100
311110112022102100
43310112111130
5112344221440
610204525100
71405312110
oct364262534
9143468370
1064054620
1133180203
1219550790
1310369656
148715740
155954230
hex3d1655c

64054620 has 144 divisors (see below), whose sum is σ = 229844160. Its totient is φ = 14128128.

The previous prime is 64054603. The next prime is 64054621. The reversal of 64054620 is 2645046.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64054621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35664 + ... + 37416.

It is an arithmetic number, because the mean of its divisors is an integer number (1596140).

Almost surely, 264054620 is an apocalyptic number.

64054620 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 64054620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114922080).

64054620 is an abundant number, since it is smaller than the sum of its proper divisors (165789540).

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

64054620 is a wasteful number, since it uses less digits than its factorization.

64054620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 64054620 is about 8003.4130219551. The cubic root of 64054620 is about 400.1137593106.

Adding to 64054620 its reverse (2645046), we get a palindrome (66699666).

It can be divided in two parts, 6405 and 4620, that added together give a square (11025 = 1052).

The spelling of 64054620 in words is "sixty-four million, fifty-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 29 30 35 36 42 45 58 60 63 70 84 87 90 105 116 126 140 145 174 180 203 210 252 261 290 315 348 406 420 435 522 580 609 630 812 870 1015 1044 1218 1260 1305 1740 1753 1827 2030 2436 2610 3045 3506 3654 4060 5220 5259 6090 7012 7308 8765 9135 10518 12180 12271 15777 17530 18270 21036 24542 26295 31554 35060 36540 36813 49084 50837 52590 61355 63108 73626 78885 101674 105180 110439 122710 147252 152511 157770 184065 203348 220878 245420 254185 305022 315540 355859 368130 441756 457533 508370 552195 610044 711718 736260 762555 915066 1016740 1067577 1104390 1423436 1525110 1779295 1830132 2135154 2208780 2287665 3050220 3202731 3558590 4270308 4575330 5337885 6405462 7117180 9150660 10675770 12810924 16013655 21351540 32027310 64054620