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10334720 = 29511367
BaseRepresentation
bin100111011011…
…001000000000
3201110001120102
4213123020000
510121202340
61005301532
7153562244
oct47331000
921401512
1010334720
1159196a0
1235648a8
1321ab026
141530424
15d92215
hex9db200

10334720 has 80 divisors (see below), whose sum is σ = 27105408. Its totient is φ = 3747840.

The previous prime is 10334717. The next prime is 10334743. The reversal of 10334720 is 2743301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10334692 and 10334701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27977 + ... + 28343.

Almost surely, 210334720 is an apocalyptic number.

10334720 is a gapful number since it is divisible by the number (10) 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 10334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13552704).

10334720 is an abundant number, since it is smaller than the sum of its proper divisors (16770688).

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

10334720 is an equidigital number, since it uses as much as digits as its factorization.

10334720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 10334720 is about 3214.7659323814. The cubic root of 10334720 is about 217.8209117517.

The spelling of 10334720 in words is "ten million, three hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 367 440 512 640 704 734 880 1280 1408 1468 1760 1835 2560 2816 2936 3520 3670 4037 5632 5872 7040 7340 8074 11744 14080 14680 16148 20185 23488 28160 29360 32296 40370 46976 58720 64592 80740 93952 117440 129184 161480 187904 234880 258368 322960 469760 516736 645920 939520 1033472 1291840 2066944 2583680 5167360 10334720