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64921440 = 2535314363
BaseRepresentation
bin1111011110100…
…1111101100000
311112011100110210
43313221331200
5113104441230
610235254120
71415552223
oct367517540
9145140423
1064921440
1133712491
12198aa340
13105b106c
14889d5ba
155a75eb0
hex3de9f60

64921440 has 96 divisors (see below), whose sum is σ = 211147776. Its totient is φ = 16750080.

The previous prime is 64921399. The next prime is 64921447. The reversal of 64921440 is 4412946.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 = 64921398 and 64921407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64921447) 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, 12699 + ... + 17061.

It is an arithmetic number, because the mean of its divisors is an integer number (2199456).

Almost surely, 264921440 is an apocalyptic number.

64921440 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 64921440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105573888).

64921440 is an abundant number, since it is smaller than the sum of its proper divisors (146226336).

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

64921440 is a wasteful number, since it uses less digits than its factorization.

64921440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4412 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 64921440 is about 8057.3841909146. The cubic root of 64921440 is about 401.9105268561.

The spelling of 64921440 in words is "sixty-four million, nine hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4363 4960 7440 8726 13089 14880 17452 21815 26178 34904 43630 52356 65445 69808 87260 104712 130890 135253 139616 174520 209424 261780 270506 349040 405759 418848 523560 541012 676265 698080 811518 1047120 1082024 1352530 1623036 2028795 2094240 2164048 2705060 3246072 4057590 4328096 5410120 6492144 8115180 10820240 12984288 16230360 21640480 32460720 64921440