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64097040 = 2435738153
BaseRepresentation
bin1111010010000…
…0101100010000
311110121110121110
43310200230100
5112402101130
610205453320
71405546560
oct364405420
9143543543
1064097040
11331aa067
1219571240
1310382a57
148726da0
155961ab0
hex3d20b10

64097040 has 80 divisors (see below), whose sum is σ = 227092608. Its totient is φ = 14650368.

The previous prime is 64097039. The next prime is 64097041. The reversal of 64097040 is 4079046.

It is an interprime number because it is at equal distance from previous prime (64097039) and next prime (64097041).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 64096989 and 64097007.

It is not an unprimeable number, because it can be changed into a prime (64097041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17397 + ... + 20756.

Almost surely, 264097040 is an apocalyptic number.

64097040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64097040 is an abundant number, since it is smaller than the sum of its proper divisors (162995568).

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

64097040 is a wasteful number, since it uses less digits than its factorization.

64097040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38176 (or 38170 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 64097040 is about 8006.0627027272. The cubic root of 64097040 is about 400.2020645742.

The spelling of 64097040 in words is "sixty-four million, ninety-seven thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 38153 76306 114459 152612 190765 228918 267071 305224 381530 457836 534142 572295 610448 763060 801213 915672 1068284 1144590 1335355 1526120 1602426 1831344 2136568 2289180 2670710 3052240 3204852 4006065 4273136 4578360 5341420 6409704 8012130 9156720 10682840 12819408 16024260 21365680 32048520 64097040