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10753164 = 22321979199
BaseRepresentation
bin101001000001…
…010010001100
3202020022120100
4221001102030
510223100124
61022251100
7160254222
oct51012214
922208510
1010753164
116085014
123726a90
1322c6626
1415dcb12
15e261c9
hexa4148c

10753164 has 72 divisors (see below), whose sum is σ = 29120000. Its totient is φ = 3335904.

The previous prime is 10753159. The next prime is 10753201. The reversal of 10753164 is 46135701.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53937 + ... + 54135.

Almost surely, 210753164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10753164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14560000).

10753164 is an abundant number, since it is smaller than the sum of its proper divisors (18366836).

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

10753164 is a wasteful number, since it uses less digits than its factorization.

10753164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 10753164 is about 3279.2017321293. The cubic root of 10753164 is about 220.7218985744.

Adding to 10753164 its reverse (46135701), we get a palindrome (56888865).

The spelling of 10753164 in words is "ten million, seven hundred fifty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 79 114 158 171 199 228 237 316 342 398 474 597 684 711 796 948 1194 1422 1501 1791 2388 2844 3002 3582 3781 4503 6004 7164 7562 9006 11343 13509 15124 15721 18012 22686 27018 31442 34029 45372 47163 54036 62884 68058 94326 136116 141489 188652 282978 298699 565956 597398 896097 1194796 1792194 2688291 3584388 5376582 10753164