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6930432 = 2143247
BaseRepresentation
bin11010011100000000000000
3111001002202200
4122130000000
53233233212
6404313200
7112623225
oct32340000
914032680
106930432
113a03a33
1223a2800
131588662
14cc594c
1591d6dc
hex69c000

6930432 has 90 divisors (see below), whose sum is σ = 20446608. Its totient is φ = 2260992.

The previous prime is 6930431. The next prime is 6930461. The reversal of 6930432 is 2340396.

It is a junction number, because it is equal to n+sod(n) for n = 6930396 and 6930405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6930431) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147433 + ... + 147479.

Almost surely, 26930432 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 6930432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10223304).

6930432 is an abundant number, since it is smaller than the sum of its proper divisors (13516176).

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

6930432 is an equidigital number, since it uses as much as digits as its factorization.

6930432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 6930432 is about 2632.5713665540. The cubic root of 6930432 is about 190.6572987285.

The spelling of 6930432 in words is "six million, nine hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 282 288 376 384 423 512 564 576 752 768 846 1024 1128 1152 1504 1536 1692 2048 2256 2304 3008 3072 3384 4096 4512 4608 6016 6144 6768 8192 9024 9216 12032 12288 13536 16384 18048 18432 24064 24576 27072 36096 36864 48128 49152 54144 72192 73728 96256 108288 144384 147456 192512 216576 288768 385024 433152 577536 770048 866304 1155072 1732608 2310144 3465216 6930432