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102268460 = 22571076827
BaseRepresentation
bin1100001100001…
…11111000101100
321010102202221202
412012013320230
5202140042320
614051545032
72351160530
oct606077054
9233382852
10102268460
1152800898
122a2bb178
13182591a8
14d821bc0
158ea1b75
hex6187e2c

102268460 has 48 divisors (see below), whose sum is σ = 247774464. Its totient is φ = 34730688.

The previous prime is 102268457. The next prime is 102268493. The reversal of 102268460 is 64862201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11567 + ... + 18393.

It is an arithmetic number, because the mean of its divisors is an integer number (5161968).

Almost surely, 2102268460 is an apocalyptic number.

102268460 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 102268460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123887232).

102268460 is an abundant number, since it is smaller than the sum of its proper divisors (145506004).

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

102268460 is a wasteful number, since it uses less digits than its factorization.

102268460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6950 (or 6948 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 102268460 is about 10112.7869551375. The cubic root of 102268460 is about 467.6424266017.

The spelling of 102268460 in words is "one hundred two million, two hundred sixty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 214 428 535 749 1070 1498 2140 2996 3745 6827 7490 13654 14980 27308 34135 47789 68270 95578 136540 191156 238945 477890 730489 955780 1460978 2921956 3652445 5113423 7304890 10226846 14609780 20453692 25567115 51134230 102268460