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64010440 = 23513217557
BaseRepresentation
bin1111010000101…
…1100011001000
311110110001211001
43310023203020
5112341313230
610203544344
71405036234
oct364134310
9143401731
1064010440
113314aa9a
121952b0b4
1310352500
1487035c4
1559460ca
hex3d0b8c8

64010440 has 96 divisors (see below), whose sum is σ = 165424680. Its totient is φ = 22204416.

The previous prime is 64010431. The next prime is 64010477. The reversal of 64010440 is 4401046.

It can be written as a sum of positive squares in 12 ways, for example, as 1695204 + 62315236 = 1302^2 + 7894^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114642 + ... + 115198.

Almost surely, 264010440 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 64010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82712340).

64010440 is an abundant number, since it is smaller than the sum of its proper divisors (101414240).

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

64010440 is a wasteful number, since it uses less digits than its factorization.

64010440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 64010440 is about 8000.6524733924. The cubic root of 64010440 is about 400.0217488175.

Adding to 64010440 its reverse (4401046), we get a palindrome (68411486).

The spelling of 64010440 in words is "sixty-four million, ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 169 170 221 260 338 340 442 520 557 676 680 845 884 1105 1114 1352 1690 1768 2210 2228 2785 2873 3380 4420 4456 5570 5746 6760 7241 8840 9469 11140 11492 14365 14482 18938 22280 22984 28730 28964 36205 37876 47345 57460 57928 72410 75752 94133 94690 114920 123097 144820 188266 189380 246194 289640 376532 378760 470665 492388 615485 753064 941330 984776 1230970 1600261 1882660 2461940 3200522 3765320 4923880 6401044 8001305 12802088 16002610 32005220 64010440