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102423540 = 223513912281
BaseRepresentation
bin1100001101011…
…01101111110100
321010201122200110
412012231233310
5202210023130
614055143020
72352404622
oct606555764
9233648613
10102423540
11528a735a
122a374a70
13182b195b
14d862512
158ed2ab0
hex61adbf4

102423540 has 48 divisors (see below), whose sum is σ = 288872640. Its totient is φ = 27114240.

The previous prime is 102423533. The next prime is 102423551. The reversal of 102423540 is 45324201.

It is a super-3 number, since 3×1024235403 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 2200 + ... + 14480.

It is an arithmetic number, because the mean of its divisors is an integer number (6018180).

Almost surely, 2102423540 is an apocalyptic number.

102423540 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 102423540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144436320).

102423540 is an abundant number, since it is smaller than the sum of its proper divisors (186449100).

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

102423540 is a wasteful number, since it uses less digits than its factorization.

102423540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12432 (or 12430 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 102423540 is about 10120.4515709528. The cubic root of 102423540 is about 467.8786850431.

Adding to 102423540 its reverse (45324201), we get a palindrome (147747741).

The spelling of 102423540 in words is "one hundred two million, four hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1390 1668 2085 2780 4170 8340 12281 24562 36843 49124 61405 73686 122810 147372 184215 245620 368430 736860 1707059 3414118 5121177 6828236 8535295 10242354 17070590 20484708 25605885 34141180 51211770 102423540