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102317248 = 2611237189
BaseRepresentation
bin1100001100100…
…11110011000000
321010112020212201
412012103303000
5202143122443
614053002544
72351453005
oct606236300
9233466781
10102317248
1152834510
122a323454
1318275467
14d8358ac
158eb134d
hex6193cc0

102317248 has 112 divisors (see below), whose sum is σ = 237012480. Its totient is φ = 43366400.

The previous prime is 102317233. The next prime is 102317287. The reversal of 102317248 is 842713201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1149588 + ... + 1149676.

Almost surely, 2102317248 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 102317248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118506240).

102317248 is an abundant number, since it is smaller than the sum of its proper divisors (134695232).

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

102317248 is a wasteful number, since it uses less digits than its factorization.

102317248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 102317248 is about 10115.1988611198. The cubic root of 102317248 is about 467.7167789863.

The spelling of 102317248 in words is "one hundred two million, three hundred seventeen thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 71 88 89 92 142 176 178 184 253 284 352 356 368 506 568 704 712 736 781 979 1012 1136 1424 1472 1562 1633 1958 2024 2047 2272 2848 3124 3266 3916 4048 4094 4544 5696 6248 6319 6532 7832 8096 8188 12496 12638 13064 15664 16192 16376 17963 22517 24992 25276 26128 31328 32752 35926 45034 49984 50552 52256 62656 65504 69509 71852 90068 101104 104512 131008 139018 143704 145337 180136 202208 278036 287408 290674 360272 404416 556072 574816 581348 720544 1112144 1149632 1162696 1441088 1598707 2224288 2325392 3197414 4448576 4650784 6394828 9301568 12789656 25579312 51158624 102317248