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102434460 = 223516710223
BaseRepresentation
bin1100001101100…
…00011010011100
321010202012122220
412012300122130
5202210400320
614055305340
72352451512
oct606603234
9233665586
10102434460
1152904587
122a37b250
13182b690b
14d8664b2
158ed5e40
hex61b069c

102434460 has 48 divisors (see below), whose sum is σ = 288562176. Its totient is φ = 27149632.

The previous prime is 102434419. The next prime is 102434473. The reversal of 102434460 is 64434201.

It is a self number, because there is not a number n which added to its sum of digits gives 102434460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4909 + ... + 15131.

It is an arithmetic number, because the mean of its divisors is an integer number (6011712).

Almost surely, 2102434460 is an apocalyptic number.

102434460 is a gapful number since it is divisible by the number (10) 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 102434460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144281088).

102434460 is an abundant number, since it is smaller than the sum of its proper divisors (186127716).

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

102434460 is a wasteful number, since it uses less digits than its factorization.

102434460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10402 (or 10400 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 102434460 is about 10120.9910581919. The cubic root of 102434460 is about 467.8953122549.

Adding to 102434460 its reverse (64434201), we get a palindrome (166868661).

The spelling of 102434460 in words is "one hundred two million, four hundred thirty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 668 835 1002 1670 2004 2505 3340 5010 10020 10223 20446 30669 40892 51115 61338 102230 122676 153345 204460 306690 613380 1707241 3414482 5121723 6828964 8536205 10243446 17072410 20486892 25608615 34144820 51217230 102434460