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1804135032 = 2337714731
BaseRepresentation
bin110101110001000…
…1110101001111000
311122201210120000000
41223202032221320
512143324310112
6455004513000
762464615620
oct15342165170
94581716000
101804135032
11846429397
1242424b760
13229a0a22b
14131871880
15a85c37dc
hex6b88ea78

1804135032 has 128 divisors (see below), whose sum is σ = 5798515200. Its totient is φ = 515432160.

The previous prime is 1804135031. The next prime is 1804135043. The reversal of 1804135032 is 2305314081.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1804134987 and 1804135005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1804135031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115107 + ... + 129837.

It is an arithmetic number, because the mean of its divisors is an integer number (45300900).

Almost surely, 21804135032 is an apocalyptic number.

1804135032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1804135032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899257600).

1804135032 is an abundant number, since it is smaller than the sum of its proper divisors (3994380168).

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

1804135032 is an equidigital number, since it uses as much as digits as its factorization.

1804135032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14765 (or 14743 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1804135032 is about 42475.1107355826. The cubic root of 1804135032 is about 1217.3711719228.

The spelling of 1804135032 in words is "one billion, eight hundred four million, one hundred thirty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 729 756 972 1134 1458 1512 1701 1944 2187 2268 2916 3402 4374 4536 5103 5832 6804 8748 10206 13608 14731 15309 17496 20412 29462 30618 40824 44193 58924 61236 88386 103117 117848 122472 132579 176772 206234 265158 309351 353544 397737 412468 530316 618702 795474 824936 928053 1060632 1193211 1237404 1590948 1856106 2386422 2474808 2784159 3181896 3579633 3712212 4772844 5568318 7159266 7424424 8352477 9545688 10738899 11136636 14318532 16704954 21477798 22273272 25057431 28637064 32216697 33409908 42955596 50114862 64433394 66819816 75172293 85911192 100229724 128866788 150344586 200459448 225516879 257733576 300689172 451033758 601378344 902067516 1804135032