Search a number
-
+
102482028 = 2232111371889
BaseRepresentation
bin1100001101111…
…00000001101100
321010211121220200
412012330001230
5202213411103
614100313500
72353040265
oct606740154
9233747820
10102482028
11529372a0
122a3a2890
131830246c
14d87996c
158ee50a3
hex61bc06c

102482028 has 72 divisors (see below), whose sum is σ = 284815440. Its totient is φ = 30812160.

The previous prime is 102481993. The next prime is 102482033. The reversal of 102482028 is 820284201.

It is a junction number, because it is equal to n+sod(n) for n = 102481992 and 102482010.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53308 + ... + 55196.

It is an arithmetic number, because the mean of its divisors is an integer number (3955770).

Almost surely, 2102482028 is an apocalyptic number.

102482028 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 102482028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142407720).

102482028 is an abundant number, since it is smaller than the sum of its proper divisors (182333412).

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

102482028 is a wasteful number, since it uses less digits than its factorization.

102482028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 102482028 is about 10123.3407529333. The cubic root of 102482028 is about 467.9677273385.

The spelling of 102482028 in words is "one hundred two million, four hundred eighty-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 137 198 274 396 411 548 822 1233 1507 1644 1889 2466 3014 3778 4521 4932 5667 6028 7556 9042 11334 13563 17001 18084 20779 22668 27126 34002 41558 54252 62337 68004 83116 124674 187011 249348 258793 374022 517586 748044 776379 1035172 1552758 2329137 2846723 3105516 4658274 5693446 8540169 9316548 11386892 17080338 25620507 34160676 51241014 102482028