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1002053430 = 23457225247
BaseRepresentation
bin111011101110100…
…001111100110110
32120211112120220000
4323232201330312
54023011202210
6243233252130
733555212400
oct7356417466
92524476800
101002053430
114746a6634
1223b704046
1312c7a8a31
1497123b70
155ce89ac0
hex3bba1f36

1002053430 has 120 divisors (see below), whose sum is σ = 3134438208. Its totient is φ = 229031712.

The previous prime is 1002053419. The next prime is 1002053431. The reversal of 1002053430 is 343502001.

1002053430 is a `hidden beast` number, since 100 + 2 + 0 + 534 + 30 = 666.

It is a super-2 number, since 2×10020534302 = 2008222153149529800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002053431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27067 + ... + 52313.

Almost surely, 21002053430 is an apocalyptic number.

1002053430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002053430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567219104).

1002053430 is an abundant number, since it is smaller than the sum of its proper divisors (2132384778).

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

1002053430 is a wasteful number, since it uses less digits than its factorization.

1002053430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25280 (or 25264 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1002053430 is about 31655.2275303780. The cubic root of 1002053430 is about 1000.6840086921.

Adding to 1002053430 its reverse (343502001), we get a palindrome (1345555431).

The spelling of 1002053430 in words is "one billion, two million, fifty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 245 270 294 315 378 405 441 490 567 630 735 810 882 945 1134 1323 1470 1890 2205 2646 2835 3969 4410 5670 6615 7938 13230 19845 25247 39690 50494 75741 126235 151482 176729 227223 252470 353458 378705 454446 530187 681669 757410 883645 1060374 1136115 1237103 1363338 1590561 1767290 2045007 2272230 2474206 2650935 3181122 3408345 3711309 4090014 4771683 5301870 6185515 6816690 7422618 7952805 9543366 10225035 11133927 12371030 14315049 15905610 18556545 20450070 22267854 23858415 28630098 33401781 37113090 47716830 55669635 66803562 71575245 100205343 111339270 143150490 167008905 200410686 334017810 501026715 1002053430