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1264436640 = 253251635387
BaseRepresentation
bin100101101011101…
…1100010110100000
310021010021000222200
41023113130112200
510042143433030
6325245133200
743222351125
oct11327342640
93233230880
101264436640
11599817a65
122b355a200
13171c6597c
14bdd0474c
1576017d60
hex4b5dc5a0

1264436640 has 144 divisors (see below), whose sum is σ = 4342167648. Its totient is φ = 335052288.

The previous prime is 1264436639. The next prime is 1264436669. The reversal of 1264436640 is 466344621.

1264436640 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 4 + 3 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1264436595 and 1264436604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232027 + ... + 237413.

It is an arithmetic number, because the mean of its divisors is an integer number (30153942).

Almost surely, 21264436640 is an apocalyptic number.

1264436640 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 1264436640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171083824).

1264436640 is an abundant number, since it is smaller than the sum of its proper divisors (3077731008).

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

1264436640 is a wasteful number, since it uses less digits than its factorization.

1264436640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5571 (or 5560 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 1264436640 is about 35558.9178687991. The cubic root of 1264436640 is about 1081.3485212553.

It can be divided in two parts, 12644 and 36640, that added together give a square (49284 = 2222).

The spelling of 1264436640 in words is "one billion, two hundred sixty-four million, four hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 163 180 240 288 326 360 480 489 652 720 815 978 1304 1440 1467 1630 1956 2445 2608 2934 3260 3912 4890 5216 5387 5868 6520 7335 7824 9780 10774 11736 13040 14670 15648 16161 19560 21548 23472 26080 26935 29340 32322 39120 43096 46944 48483 53870 58680 64644 78240 80805 86192 96966 107740 117360 129288 161610 172384 193932 215480 234720 242415 258576 323220 387864 430960 484830 517152 646440 775728 861920 878081 969660 1292880 1551456 1756162 1939320 2585760 2634243 3512324 3878640 4390405 5268486 7024648 7757280 7902729 8780810 10536972 13171215 14049296 15805458 17561620 21073944 26342430 28098592 31610916 35123240 39513645 42147888 52684860 63221832 70246480 79027290 84295776 105369720 126443664 140492960 158054580 210739440 252887328 316109160 421478880 632218320 1264436640