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64099840 = 2957373
BaseRepresentation
bin1111010010000…
…1011000000000
311110121121110011
43310201120000
5112402143330
610205514304
71405561000
oct364413000
9143547404
1064099840
1133201182
1219572994
13103840cc
148728000
15596282a
hex3d21600

64099840 has 160 divisors (see below), whose sum is σ = 181684800. Its totient is φ = 21676032.

The previous prime is 64099829. The next prime is 64099859. The reversal of 64099840 is 4899046.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 64099793 and 64099802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 878044 + ... + 878116.

It is an arithmetic number, because the mean of its divisors is an integer number (1135530).

Almost surely, 264099840 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 64099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90842400).

64099840 is an abundant number, since it is smaller than the sum of its proper divisors (117584960).

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

64099840 is an frugal number, since it uses more digits than its factorization.

64099840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 64099840 is about 8006.2375682964. The cubic root of 64099840 is about 400.2078919336.

The spelling of 64099840 in words is "sixty-four million, ninety-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 73 80 98 112 128 140 146 160 196 224 245 256 280 292 320 343 365 392 448 490 511 512 560 584 640 686 730 784 896 980 1022 1120 1168 1280 1372 1460 1568 1715 1792 1960 2044 2240 2336 2555 2560 2744 2920 3136 3430 3577 3584 3920 4088 4480 4672 5110 5488 5840 6272 6860 7154 7840 8176 8960 9344 10220 10976 11680 12544 13720 14308 15680 16352 17885 17920 18688 20440 21952 23360 25039 25088 27440 28616 31360 32704 35770 37376 40880 43904 46720 50078 54880 57232 62720 65408 71540 81760 87808 93440 100156 109760 114464 125195 125440 130816 143080 163520 175616 186880 200312 219520 228928 250390 261632 286160 327040 400624 439040 457856 500780 572320 654080 801248 878080 915712 1001560 1144640 1308160 1602496 1831424 2003120 2289280 3204992 4006240 4578560 6409984 8012480 9157120 12819968 16024960 32049920 64099840