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102280464 = 243211134967
BaseRepresentation
bin1100001100010…
…10110100010000
321010110101102100
412012022310100
5202140433324
614052120400
72351240526
oct606126420
9233411370
10102280464
1152809910
122a306100
13182617b0
14d826316
158ea54c9
hex618ad10

102280464 has 120 divisors (see below), whose sum is σ = 336353472. Its totient is φ = 28604160.

The previous prime is 102280463. The next prime is 102280487. The reversal of 102280464 is 464082201.

It is a super-2 number, since 2×1022804642 = 20922586632110592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102280463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18109 + ... + 23075.

Almost surely, 2102280464 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 102280464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168176736).

102280464 is an abundant number, since it is smaller than the sum of its proper divisors (234073008).

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

102280464 is a wasteful number, since it uses less digits than its factorization.

102280464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5005 (or 4996 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 102280464 is about 10113.3804437488. The cubic root of 102280464 is about 467.6607227609.

The spelling of 102280464 in words is "one hundred two million, two hundred eighty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 4967 5148 6864 9934 10296 14901 19868 20592 29802 39736 44703 54637 59604 64571 79472 89406 109274 119208 129142 163911 178812 193713 218548 238416 258284 327822 357624 387426 437096 491733 516568 581139 655644 710281 715248 774852 874192 983466 1033136 1162278 1311288 1420562 1549704 1966932 2130843 2324556 2622576 2841124 3099408 3933864 4261686 4649112 5682248 6392529 7867728 8523372 9298224 11364496 12785058 17046744 25570116 34093488 51140232 102280464