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102306150 = 23252613727
BaseRepresentation
bin1100001100100…
…01000101100110
321010111200122200
412012101011212
5202142244100
614052435330
72351405442
oct606210546
9233450580
10102306150
1152827141
122a318b46
13182703ab
14d831822
158eace00
hex6191166

102306150 has 72 divisors (see below), whose sum is σ = 279443424. Its totient is φ = 26827200.

The previous prime is 102306143. The next prime is 102306161. The reversal of 102306150 is 51603201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25587 + ... + 29313.

Almost surely, 2102306150 is an apocalyptic number.

102306150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102306150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139721712).

102306150 is an abundant number, since it is smaller than the sum of its proper divisors (177137274).

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

102306150 is a wasteful number, since it uses less digits than its factorization.

102306150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 102306150 is about 10114.6502658273. The cubic root of 102306150 is about 467.6998678313.

Adding to 102306150 its reverse (51603201), we get a palindrome (153909351).

The spelling of 102306150 in words is "one hundred two million, three hundred six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 61 75 90 122 150 183 225 305 366 450 549 610 915 1098 1525 1830 2745 3050 3727 4575 5490 7454 9150 11181 13725 18635 22362 27450 33543 37270 55905 67086 93175 111810 167715 186350 227347 279525 335430 454694 559050 682041 838575 1136735 1364082 1677150 2046123 2273470 3410205 4092246 5683675 6820410 10230615 11367350 17051025 20461230 34102050 51153075 102306150