Search a number
-
+
10079232 = 210317193
BaseRepresentation
bin100110011100…
…110000000000
3200222002002220
4212130300000
510040013412
61000011040
7151446342
oct46346000
920862086
1010079232
115764749
123460a80
13211b957
1414a5292
15d4168c
hex99cc00

10079232 has 88 divisors (see below), whose sum is σ = 28592496. Its totient is φ = 3145728.

The previous prime is 10079219. The next prime is 10079233. The reversal of 10079232 is 23297001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (10079233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52128 + ... + 52320.

Almost surely, 210079232 is an apocalyptic number.

10079232 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 10079232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14296248).

10079232 is an abundant number, since it is smaller than the sum of its proper divisors (18513264).

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

10079232 is a wasteful number, since it uses less digits than its factorization.

10079232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 10079232 is about 3174.7806223423. The cubic root of 10079232 is about 216.0109733794.

The spelling of 10079232 in words is "ten million, seventy-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 193 204 256 272 384 386 408 512 544 579 768 772 816 1024 1088 1158 1536 1544 1632 2176 2316 3072 3088 3264 3281 4352 4632 6176 6528 6562 8704 9264 9843 12352 13056 13124 17408 18528 19686 24704 26112 26248 37056 39372 49408 52224 52496 74112 78744 98816 104992 148224 157488 197632 209984 296448 314976 419968 592896 629952 839936 1259904 1679872 2519808 3359744 5039616 10079232