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10243764 = 22323167137
BaseRepresentation
bin100111000100…
…111010110100
3201021102210200
4213010322310
510110300024
61003320500
7153033126
oct47047264
921242720
1010243764
115867323
123520130
1321787cb
141509216
15d752c9
hex9c4eb4

10243764 has 72 divisors (see below), whose sum is σ = 27326208. Its totient is φ = 3231360.

The previous prime is 10243759. The next prime is 10243769. The reversal of 10243764 is 46734201.

10243764 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10243759) and next prime (10243769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10243769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74704 + ... + 74840.

Almost surely, 210243764 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 10243764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13663104).

10243764 is an abundant number, since it is smaller than the sum of its proper divisors (17082444).

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

10243764 is a wasteful number, since it uses less digits than its factorization.

10243764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 10243764 is about 3200.5880709645. The cubic root of 10243764 is about 217.1800130159.

Adding to 10243764 its reverse (46734201), we get a palindrome (56977965).

The spelling of 10243764 in words is "ten million, two hundred forty-three thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 67 93 124 134 137 186 201 268 274 279 372 402 411 548 558 603 804 822 1116 1206 1233 1644 2077 2412 2466 4154 4247 4932 6231 8308 8494 9179 12462 12741 16988 18358 18693 24924 25482 27537 36716 37386 38223 50964 55074 74772 76446 82611 110148 152892 165222 284549 330444 569098 853647 1138196 1707294 2560941 3414588 5121882 10243764