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1152003440 = 245719108271
BaseRepresentation
bin100010010101010…
…0010110101110000
32222021200211122002
41010222202311300
54324403102230
6310151233132
740355603420
oct10452426560
92867624562
101152003440
11541304265
122819787a8
1315488ac53
14acdd8480
156b209545
hex44aa2d70

1152003440 has 80 divisors (see below), whose sum is σ = 3222174720. Its totient is φ = 374181120.

The previous prime is 1152003439. The next prime is 1152003443. The reversal of 1152003440 is 443002511.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11520034402 = 2654223851543667200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152003443) by changing a digit.

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, 43496 + ... + 64775.

It is an arithmetic number, because the mean of its divisors is an integer number (40277184).

Almost surely, 21152003440 is an apocalyptic number.

1152003440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1152003440 is an abundant number, since it is smaller than the sum of its proper divisors (2070171280).

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

1152003440 is a wasteful number, since it uses less digits than its factorization.

1152003440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108310 (or 108304 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1152003440 is about 33941.1761729024. The cubic root of 1152003440 is about 1048.2976011259.

Adding to 1152003440 its reverse (443002511), we get a palindrome (1595005951).

The spelling of 1152003440 in words is "one billion, one hundred fifty-two million, three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 5320 10640 108271 216542 433084 541355 757897 866168 1082710 1515794 1732336 2057149 2165420 3031588 3789485 4114298 4330840 6063176 7578970 8228596 8661680 10285745 12126352 14400043 15157940 16457192 20571490 28800086 30315880 32914384 41142980 57600172 60631760 72000215 82285960 115200344 144000430 164571920 230400688 288000860 576001720 1152003440