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10023120 = 2432513921
BaseRepresentation
bin100110001111…
…000011010000
3200212020010200
4212033003100
510031214440
6554455200
7151123632
oct46170320
920766120
1010023120
115726578
123434500
1320cc253
14148ca52
15d2ec30
hex98f0d0

10023120 has 60 divisors (see below), whose sum is σ = 33663396. Its totient is φ = 2672640.

The previous prime is 10023113. The next prime is 10023161. The reversal of 10023120 is 2132001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4769856 + 5253264 = 2184^2 + 2292^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6241 + ... + 7680.

Almost surely, 210023120 is an apocalyptic number.

10023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023120 is an abundant number, since it is smaller than the sum of its proper divisors (23640276).

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

10023120 is a wasteful number, since it uses less digits than its factorization.

10023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13940 (or 13931 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10023120 is about 3165.9311426498. The cubic root of 10023120 is about 215.6093763097.

Adding to 10023120 its reverse (2132001), we get a palindrome (12155121).

It can be divided in two parts, 100 and 23120, that added together give a triangular number (23220 = T215).

The spelling of 10023120 in words is "ten million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 13921 27842 41763 55684 69605 83526 111368 125289 139210 167052 208815 222736 250578 278420 334104 417630 501156 556840 626445 668208 835260 1002312 1113680 1252890 1670520 2004624 2505780 3341040 5011560 10023120