Search a number
-
+
10469376 = 2143271
BaseRepresentation
bin100111111100…
…000000000000
3201200220021200
4213330000000
510140010001
61012221200
7154662651
oct47740000
921626250
1010469376
115a00885
12360a800
1322273c8
141567528
15dbc086
hex9fc000

10469376 has 90 divisors (see below), whose sum is σ = 30669912. Its totient is φ = 3440640.

The previous prime is 10469363. The next prime is 10469387. The reversal of 10469376 is 67396401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10469376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147421 + ... + 147491.

Almost surely, 210469376 is an apocalyptic number.

10469376 is a gapful number since it is divisible by the number (16) 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 10469376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15334956).

10469376 is an abundant number, since it is smaller than the sum of its proper divisors (20200536).

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

10469376 is an frugal number, since it uses more digits than its factorization.

10469376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 10469376 is about 3235.6415128997. The cubic root of 10469376 is about 218.7628633524.

Subtracting 10469376 from its reverse (67396401), we obtain a square (56927025 = 75452).

The spelling of 10469376 in words is "ten million, four hundred sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 256 284 288 384 426 512 568 576 639 768 852 1024 1136 1152 1278 1536 1704 2048 2272 2304 2556 3072 3408 4096 4544 4608 5112 6144 6816 8192 9088 9216 10224 12288 13632 16384 18176 18432 20448 24576 27264 36352 36864 40896 49152 54528 72704 73728 81792 109056 145408 147456 163584 218112 290816 327168 436224 581632 654336 872448 1163264 1308672 1744896 2617344 3489792 5234688 10469376