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1264012640 = 25511799091
BaseRepresentation
bin100101101010111…
…0100110101100000
310021002110111100222
41023111310311200
510042041401030
6325232102212
743215634022
oct11325646540
93232414328
101264012640
11599558450
122b3394968
13171b47997
14bdc34012
1575e823e5
hex4b574d60

1264012640 has 96 divisors (see below), whose sum is σ = 3299304960. Its totient is φ = 453772800.

The previous prime is 1264012619. The next prime is 1264012643. The reversal of 1264012640 is 462104621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264012643) 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, 134495 + ... + 143585.

It is an arithmetic number, because the mean of its divisors is an integer number (34367760).

Almost surely, 21264012640 is an apocalyptic number.

1264012640 is a gapful number since it is divisible by the number (10) 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 1264012640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649652480).

1264012640 is an abundant number, since it is smaller than the sum of its proper divisors (2035292320).

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

1264012640 is a wasteful number, since it uses less digits than its factorization.

1264012640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9196 (or 9188 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 1264012640 is about 35552.9554327063. The cubic root of 1264012640 is about 1081.2276392181.

The spelling of 1264012640 in words is "one billion, two hundred sixty-four million, twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 79 80 88 110 158 160 176 220 316 352 395 440 632 790 869 880 1264 1580 1738 1760 2528 3160 3476 4345 6320 6952 8690 9091 12640 13904 17380 18182 27808 34760 36364 45455 69520 72728 90910 100001 139040 145456 181820 200002 290912 363640 400004 500005 718189 727280 800008 1000010 1436378 1454560 1600016 2000020 2872756 3200032 3590945 4000040 5745512 7181890 7900079 8000080 11491024 14363780 15800158 16000160 22982048 28727560 31600316 39500395 57455120 63200632 79000790 114910240 126401264 158001580 252802528 316003160 632006320 1264012640