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64151040 = 29358353
BaseRepresentation
bin1111010010110…
…1111000000000
311110201012200110
43310231320000
5112410313130
610210551320
71406163162
oct364557000
9143635613
1064151040
1133236698
1219598540
13103a14c5
14873c932
155972ab0
hex3d2de00

64151040 has 80 divisors (see below), whose sum is σ = 205107408. Its totient is φ = 17104896.

The previous prime is 64151039. The next prime is 64151051. The reversal of 64151040 is 4015146.

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

It is a junction number, because it is equal to n+sod(n) for n = 64150998 and 64151016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3504 + ... + 11856.

Almost surely, 264151040 is an apocalyptic number.

64151040 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 64151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102553704).

64151040 is an abundant number, since it is smaller than the sum of its proper divisors (140956368).

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

64151040 is an equidigital number, since it uses as much as digits as its factorization.

64151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8379 (or 8363 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 64151040 is about 8009.4344369625. The cubic root of 64151040 is about 400.3144194529.

Adding to 64151040 its reverse (4015146), we get a palindrome (68166186).

It can be divided in two parts, 641 and 51040, that added together give a triangular number (51681 = T321).

The spelling of 64151040 in words is "sixty-four million, one hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 8353 16706 25059 33412 41765 50118 66824 83530 100236 125295 133648 167060 200472 250590 267296 334120 400944 501180 534592 668240 801888 1002360 1069184 1336480 1603776 2004720 2138368 2672960 3207552 4009440 4276736 5345920 6415104 8018880 10691840 12830208 16037760 21383680 32075520 64151040