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64354920 = 23357233331
BaseRepresentation
bin1111010101111…
…1101001101000
311111002120100120
43311133221220
5112433324140
610215203240
71411002450
oct365375150
9144076316
1064354920
1133365893
1219676520
1310443246
148792d60
1559b31d0
hex3d5fa68

64354920 has 128 divisors (see below), whose sum is σ = 230307840. Its totient is φ = 14065920.

The previous prime is 64354909. The next prime is 64354931. The reversal of 64354920 is 2945346.

It is an interprime number because it is at equal distance from previous prime (64354909) and next prime (64354931).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17655 + ... + 20985.

It is an arithmetic number, because the mean of its divisors is an integer number (1799280).

Almost surely, 264354920 is an apocalyptic number.

64354920 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 64354920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115153920).

64354920 is an abundant number, since it is smaller than the sum of its proper divisors (165952920).

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

64354920 is a wasteful number, since it uses less digits than its factorization.

64354920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 64354920 is about 8022.1518310239. The cubic root of 64354920 is about 400.7380540198.

The spelling of 64354920 in words is "sixty-four million, three hundred fifty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 276 280 322 345 420 460 483 552 644 690 805 840 920 966 1288 1380 1610 1932 2415 2760 3220 3331 3864 4830 6440 6662 9660 9993 13324 16655 19320 19986 23317 26648 33310 39972 46634 49965 66620 69951 76613 79944 93268 99930 116585 133240 139902 153226 186536 199860 229839 233170 279804 306452 349755 383065 399720 459678 466340 536291 559608 612904 699510 766130 919356 932680 1072582 1149195 1399020 1532260 1608873 1838712 2145164 2298390 2681455 2798040 3064520 3217746 4290328 4596780 5362910 6435492 8044365 9193560 10725820 12870984 16088730 21451640 32177460 64354920