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1000145432 = 2311132338011
BaseRepresentation
bin111011100111010…
…000001000011000
32120200221122121102
4323213100020120
54022014123212
6243124330532
733533044616
oct7347201030
92520848542
101000145432
11473613080
1223ab43a48
1312c28b440
1496b886b6
155cc0e5c2
hex3b9d0218

1000145432 has 64 divisors (see below), whose sum is σ = 2298965760. Its totient is φ = 401385600.

The previous prime is 1000145407. The next prime is 1000145459. The reversal of 1000145432 is 2345410001.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7307 + ... + 45317.

It is an arithmetic number, because the mean of its divisors is an integer number (35921340).

Almost surely, 21000145432 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 1000145432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149482880).

1000145432 is an abundant number, since it is smaller than the sum of its proper divisors (1298820328).

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

1000145432 is a wasteful number, since it uses less digits than its factorization.

1000145432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38064 (or 38060 counting only the distinct ones).

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

The square root of 1000145432 is about 31625.0759999087. The cubic root of 1000145432 is about 1000.0484749835.

Adding to 1000145432 its reverse (2345410001), we get a palindrome (3345555433).

The spelling of 1000145432 in words is "one billion, one hundred forty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 22 23 26 44 46 52 88 92 104 143 184 253 286 299 506 572 598 1012 1144 1196 2024 2392 3289 6578 13156 26312 38011 76022 152044 304088 418121 494143 836242 874253 988286 1672484 1748506 1976572 3344968 3497012 3953144 5435573 6994024 9616783 10871146 11365289 19233566 21742292 22730578 38467132 43484584 45461156 76934264 90922312 125018179 250036358 500072716 1000145432