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10409472 = 2934251
BaseRepresentation
bin100111101101…
…011000000000
3201120212010000
4213231120000
510131100342
61011040000
7154323213
oct47553000
921525100
1010409472
11596a877
1235a0000
132206068
14154d77a
15da944c
hex9ed600

10409472 has 100 divisors (see below), whose sum is σ = 31193316. Its totient is φ = 3456000.

The previous prime is 10409461. The next prime is 10409479. The reversal of 10409472 is 27490401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10409479) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41347 + ... + 41597.

Almost surely, 210409472 is an apocalyptic number.

10409472 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 10409472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15596658).

10409472 is an abundant number, since it is smaller than the sum of its proper divisors (20783844).

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

10409472 is an frugal number, since it uses more digits than its factorization.

10409472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10409472 is about 3226.3713363468. The cubic root of 10409472 is about 218.3448236415.

Adding to 10409472 its reverse (27490401), we get a palindrome (37899873).

The spelling of 10409472 in words is "ten million, four hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 251 256 288 324 384 432 502 512 576 648 753 768 864 1004 1152 1296 1506 1536 1728 2008 2259 2304 2592 3012 3456 4016 4518 4608 5184 6024 6777 6912 8032 9036 10368 12048 13554 13824 16064 18072 20331 20736 24096 27108 32128 36144 40662 41472 48192 54216 64256 72288 81324 96384 108432 128512 144576 162648 192768 216864 289152 325296 385536 433728 578304 650592 867456 1156608 1301184 1734912 2602368 3469824 5204736 10409472