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1155456064 = 26726072
BaseRepresentation
bin100010011011110…
…1101110001000000
32222112012020202001
41010313231301000
54331244043224
6310353233344
740430133400
oct10467556100
92875166661
101155456064
11543252274
12282b62854
131554c9619
14ad656800
156b68c544
hex44dedc40

1155456064 has 63 divisors (see below), whose sum is σ = 2671603623. Its totient is φ = 494379648.

The previous prime is 1155456041. The next prime is 1155456073. The reversal of 1155456064 is 4606545511.

The square root of 1155456064 is 33992.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1903249 + ... + 1903855.

Almost surely, 21155456064 is an apocalyptic number.

1155456064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1155456064 is the 33992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1155456064

1155456064 is an abundant number, since it is smaller than the sum of its proper divisors (1516147559).

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

1155456064 is an frugal number, since it uses more digits than its factorization.

1155456064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The cubic root of 1155456064 is about 1049.3438270625.

The spelling of 1155456064 in words is "one billion, one hundred fifty-five million, four hundred fifty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 607 784 1214 1568 2428 3136 4249 4856 8498 9712 16996 19424 29743 33992 38848 59486 67984 118972 135968 237944 271936 368449 475888 736898 951776 1473796 1903552 2579143 2947592 5158286 5895184 10316572 11790368 18054001 20633144 23580736 36108002 41266288 72216004 82532576 144432008 165065152 288864016 577728032 1155456064