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103035152 = 24111513877
BaseRepresentation
bin1100010010000…
…11000100010000
321011212201122202
412021003010100
5202334111102
614120222332
72360533013
oct611030420
9234781582
10103035152
1153184920
122a60a9a8
131846715c
14d98137a
1590a3e02
hex6243110

103035152 has 40 divisors (see below), whose sum is σ = 219277632. Its totient is φ = 46512000.

The previous prime is 103035151. The next prime is 103035169. The reversal of 103035152 is 251530301.

It is not an unprimeable number, because it can be changed into a prime (103035151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24638 + ... + 28514.

Almost surely, 2103035152 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 103035152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109638816).

103035152 is an abundant number, since it is smaller than the sum of its proper divisors (116242480).

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

103035152 is a wasteful number, since it uses less digits than its factorization.

103035152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4047 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 103035152 is about 10150.6232320976. The cubic root of 103035152 is about 468.8081344906.

Adding to 103035152 its reverse (251530301), we get a palindrome (354565453).

It can be divided in two parts, 10303 and 5152, that multiplied together give a triangular number (53081056 = T10303).

The spelling of 103035152 in words is "one hundred three million, thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 88 151 176 302 604 1208 1661 2416 3322 3877 6644 7754 13288 15508 26576 31016 42647 62032 85294 170588 341176 585427 682352 1170854 2341708 4683416 6439697 9366832 12879394 25758788 51517576 103035152