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10468368 = 2432139523
BaseRepresentation
bin100111111011…
…110000010000
3201200211220100
4213323300100
510134441433
61012212400
7154660011
oct47736020
921624810
1010468368
115a00049
12360a100
132226b01
141567008
15dbbb13
hex9fbc10

10468368 has 60 divisors (see below), whose sum is σ = 29564080. Its totient is φ = 3457728.

The previous prime is 10468363. The next prime is 10468387. The reversal of 10468368 is 86386401.

It is a happy number.

10468368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10468361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19755 + ... + 20277.

Almost surely, 210468368 is an apocalyptic number.

10468368 is a gapful number since it is divisible by the number (18) 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 10468368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14782040).

10468368 is an abundant number, since it is smaller than the sum of its proper divisors (19095712).

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

10468368 is a wasteful number, since it uses less digits than its factorization.

10468368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 10468368 is about 3235.4857440576. The cubic root of 10468368 is about 218.7558422385.

The spelling of 10468368 in words is "ten million, four hundred sixty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 523 556 834 1046 1112 1251 1569 1668 2092 2224 2502 3138 3336 4184 4707 5004 6276 6672 8368 9414 10008 12552 18828 20016 25104 37656 72697 75312 145394 218091 290788 436182 581576 654273 872364 1163152 1308546 1744728 2617092 3489456 5234184 10468368