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102939540 = 22351131289
BaseRepresentation
bin1100010001010…
…11101110010100
321011200212111120
412020223232110
5202323031130
614114203540
72356654164
oct610535624
9234625446
10102939540
115311a000
122a5835b0
1318432792
14d9585a4
159085910
hex622bb94

102939540 has 96 divisors (see below), whose sum is σ = 317278080. Its totient is φ = 24935680.

The previous prime is 102939527. The next prime is 102939547. The reversal of 102939540 is 45939201.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102939547) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 79216 + ... + 80504.

It is an arithmetic number, because the mean of its divisors is an integer number (3304980).

Almost surely, 2102939540 is an apocalyptic number.

102939540 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 102939540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158639040).

102939540 is an abundant number, since it is smaller than the sum of its proper divisors (214338540).

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

102939540 is a wasteful number, since it uses less digits than its factorization.

102939540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 102939540 is about 10145.9124774463. The cubic root of 102939540 is about 468.6630786385.

The spelling of 102939540 in words is "one hundred two million, nine hundred thirty-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1289 1331 1452 1815 2420 2578 2662 3630 3867 3993 5156 5324 6445 6655 7260 7734 7986 12890 13310 14179 15468 15972 19335 19965 25780 26620 28358 38670 39930 42537 56716 70895 77340 79860 85074 141790 155969 170148 212685 283580 311938 425370 467907 623876 779845 850740 935814 1559690 1715659 1871628 2339535 3119380 3431318 4679070 5146977 6862636 8578295 9358140 10293954 17156590 20587908 25734885 34313180 51469770 102939540