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1152103104 = 26324742557
BaseRepresentation
bin100010010101011…
…1011001011000000
32222021212220100100
41010222323023000
54324414244404
6310153322400
740356500115
oct10452731300
92867786310
101152103104
11541372129
12281a06400
131548c4419
14ad02290c
156b228d39
hex44abb2c0

1152103104 has 84 divisors (see below), whose sum is σ = 3372636384. Its totient is φ = 375854592.

The previous prime is 1152103093. The next prime is 1152103129. The reversal of 1152103104 is 4013012511.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 5794 + ... + 48350.

Almost surely, 21152103104 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 1152103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686318192).

1152103104 is an abundant number, since it is smaller than the sum of its proper divisors (2220533280).

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

1152103104 is a wasteful number, since it uses less digits than its factorization.

1152103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42622 (or 42609 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1152103104 is about 33942.6443283372. The cubic root of 1152103104 is about 1048.3278309312.

Adding to 1152103104 its reverse (4013012511), we get a palindrome (5165115615).

The spelling of 1152103104 in words is "one billion, one hundred fifty-two million, one hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 141 144 188 192 282 288 376 423 564 576 752 846 1128 1504 1692 2256 3008 3384 4512 6768 9024 13536 27072 42557 85114 127671 170228 255342 340456 383013 510684 680912 766026 1021368 1361824 1532052 2000179 2042736 2723648 3064104 4000358 4085472 6000537 6128208 8000716 8170944 12001074 12256416 16001432 18001611 24002148 24512832 32002864 36003222 48004296 64005728 72006444 96008592 128011456 144012888 192017184 288025776 384034368 576051552 1152103104