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102260116 = 22723971637
BaseRepresentation
bin1100001100001…
…01110110010100
321010102100111201
412012011312110
5202134310431
614051442244
72351124310
oct606056624
9233370451
10102260116
11527a55a2
122a2b6384
131825545a
14d81cb40
158e9e461
hex6185d94

102260116 has 48 divisors (see below), whose sum is σ = 215744256. Its totient is φ = 41462784.

The previous prime is 102260107. The next prime is 102260129. The reversal of 102260116 is 611062201.

It is a junction number, because it is equal to n+sod(n) for n = 102260093 and 102260102.

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, 61650 + ... + 63286.

It is an arithmetic number, because the mean of its divisors is an integer number (4494672).

Almost surely, 2102260116 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 102260116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107872128).

102260116 is an abundant number, since it is smaller than the sum of its proper divisors (113484140).

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

102260116 is a wasteful number, since it uses less digits than its factorization.

102260116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 102260116 is about 10112.3743997144. The cubic root of 102260116 is about 467.6297080681.

The spelling of 102260116 in words is "one hundred two million, two hundred sixty thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 23 28 46 92 97 161 194 322 388 644 679 1358 1637 2231 2716 3274 4462 6548 8924 11459 15617 22918 31234 37651 45836 62468 75302 150604 158789 263557 317578 527114 635156 1054228 1111523 2223046 3652147 4446092 7304294 14608588 25565029 51130058 102260116