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64170040 = 235112947107
BaseRepresentation
bin1111010011001…
…0100000111000
311110202011202011
43310302200320
5112411420130
610211215304
71406302444
oct364624070
9143664664
1064170040
11332499a0
12195a7534
13103aa04c
148745824
15597852a
hex3d32838

64170040 has 128 divisors (see below), whose sum is σ = 167961600. Its totient is φ = 21844480.

The previous prime is 64169983. The next prime is 64170077. The reversal of 64170040 is 4007146.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 64169993 and 64170020.

It is a congruent number.

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, 599667 + ... + 599773.

It is an arithmetic number, because the mean of its divisors is an integer number (1312200).

Almost surely, 264170040 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 64170040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83980800).

64170040 is an abundant number, since it is smaller than the sum of its proper divisors (103791560).

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

64170040 is a wasteful number, since it uses less digits than its factorization.

64170040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 64170040 is about 8010.6204503771. The cubic root of 64170040 is about 400.3539367296.

Adding to 64170040 its reverse (4007146), we get a palindrome (68177186).

The spelling of 64170040 in words is "sixty-four million, one hundred seventy thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 47 55 58 88 94 107 110 116 145 188 214 220 232 235 290 319 376 428 440 470 517 535 580 638 856 940 1034 1070 1160 1177 1276 1363 1595 1880 2068 2140 2354 2552 2585 2726 3103 3190 4136 4280 4708 5029 5170 5452 5885 6206 6380 6815 9416 10058 10340 10904 11770 12412 12760 13630 14993 15515 20116 20680 23540 24824 25145 27260 29986 31030 34133 40232 47080 50290 54520 55319 59972 62060 68266 74965 100580 110638 119944 124120 136532 145841 149930 170665 201160 221276 273064 276595 291682 299860 341330 442552 553190 583364 599720 682660 729205 1106380 1166728 1365320 1458410 1604251 2212760 2916820 3208502 5833640 6417004 8021255 12834008 16042510 32085020 64170040