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1077325536 = 25371984377
BaseRepresentation
bin100000000110110…
…1010111011100000
32210002011210210210
41000031222323200
54201243404121
6254522454120
735461054530
oct10015527340
92702153723
101077325536
11503138691
12260964340
13142272141
14a31194c0
15648a7876
hex4036aee0

1077325536 has 96 divisors (see below), whose sum is σ = 3402120960. Its totient is φ = 291603456.

The previous prime is 1077325519. The next prime is 1077325567. The reversal of 1077325536 is 6355237701.

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

It is a junction number, because it is equal to n+sod(n) for n = 1077325494 and 1077325503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29421 + ... + 54956.

It is an arithmetic number, because the mean of its divisors is an integer number (35438760).

Almost surely, 21077325536 is an apocalyptic number.

1077325536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1077325536 is an abundant number, since it is smaller than the sum of its proper divisors (2324795424).

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

1077325536 is a wasteful number, since it uses less digits than its factorization.

1077325536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84416 (or 84408 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 39.

The square root of 1077325536 is about 32822.6375539809. The cubic root of 1077325536 is about 1025.1379662790.

The spelling of 1077325536 in words is "one billion, seventy-seven million, three hundred twenty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 6384 12768 84377 168754 253131 337508 506262 590639 675016 1012524 1181278 1350032 1603163 1771917 2025048 2362556 2700064 3206326 3543834 4050096 4725112 4809489 6412652 7087668 8100192 9450224 9618978 11222141 12825304 14175336 18900448 19237956 22444282 25650608 28350672 33666423 38475912 44888564 51301216 56701344 67332846 76951824 89777128 134665692 153903648 179554256 269331384 359108512 538662768 1077325536