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102347480 = 23517413671
BaseRepresentation
bin1100001100110…
…11001011011000
321010120210100102
412012123023120
5202200104410
614053354532
72351640104
oct606331330
9233523312
10102347480
11528551a4
122a338a48
1318286151
14d842904
158eba2a5
hex619b2d8

102347480 has 64 divisors (see below), whose sum is σ = 249842880. Its totient is φ = 37580800.

The previous prime is 102347473. The next prime is 102347501. The reversal of 102347480 is 84743201.

102347480 = T34 + T35 + ... + T849.

It is a congruent number.

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, 26045 + ... + 29715.

It is an arithmetic number, because the mean of its divisors is an integer number (3903795).

Almost surely, 2102347480 is an apocalyptic number.

102347480 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 102347480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124921440).

102347480 is an abundant number, since it is smaller than the sum of its proper divisors (147495400).

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

102347480 is a wasteful number, since it uses less digits than its factorization.

102347480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3740 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 102347480 is about 10116.6931356051. The cubic root of 102347480 is about 467.7628403673.

The spelling of 102347480 in words is "one hundred two million, three hundred forty-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 82 85 136 164 170 205 328 340 410 680 697 820 1394 1640 2788 3485 3671 5576 6970 7342 13940 14684 18355 27880 29368 36710 62407 73420 124814 146840 150511 249628 301022 312035 499256 602044 624070 752555 1204088 1248140 1505110 2496280 2558687 3010220 5117374 6020440 10234748 12793435 20469496 25586870 51173740 102347480