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1152431104 = 21011271131
BaseRepresentation
bin100010010110000…
…1011010000000000
32222022111120021111
41010230023100000
54330010243404
6310204333104
740362334306
oct10454132000
92868446244
101152431104
11541576600
12281b44194
131549aa7c6
14ad0aa276
156b291104
hex44b0b400

1152431104 has 132 divisors (see below), whose sum is σ = 2587473504. Its totient is φ = 512512000.

The previous prime is 1152431057. The next prime is 1152431131. The reversal of 1152431104 is 4011342511.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8797119 + ... + 8797249.

It is an arithmetic number, because the mean of its divisors is an integer number (19602072).

Almost surely, 21152431104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1152431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293736752).

1152431104 is an abundant number, since it is smaller than the sum of its proper divisors (1435042400).

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

1152431104 is a wasteful number, since it uses less digits than its factorization.

1152431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1152431104 is about 33947.4756646205. The cubic root of 1152431104 is about 1048.4273066643.

Adding to 1152431104 its reverse (4011342511), we get a palindrome (5163773615).

The spelling of 1152431104 in words is "one billion, one hundred fifty-two million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 121 128 131 142 176 242 256 262 284 352 484 512 524 568 704 781 968 1024 1048 1136 1408 1441 1562 1936 2096 2272 2816 2882 3124 3872 4192 4544 5632 5764 6248 7744 8384 8591 9088 9301 11264 11528 12496 15488 15851 16768 17182 18176 18602 23056 24992 30976 31702 33536 34364 36352 37204 46112 49984 61952 63404 67072 68728 72704 74408 92224 99968 102311 123904 126808 134144 137456 148816 184448 199936 204622 253616 274912 297632 368896 399872 409244 507232 549824 595264 737792 799744 818488 1014464 1099648 1125421 1190528 1475584 1636976 2028928 2199296 2250842 2381056 3273952 4057856 4398592 4501684 4762112 6547904 8115712 8797184 9003368 9524224 13095808 16231424 18006736 26191616 36013472 52383232 72026944 104766464 144053888 288107776 576215552 1152431104