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102708720 = 24325294919
BaseRepresentation
bin1100001111100…
…11010111110000
321011021010212200
412013303113300
5202243134340
614105223200
72355003222
oct607632760
9234233780
10102708720
1152a81644
122a491b00
13183816ba
14d8d8412
15903c330
hex61f35f0

102708720 has 120 divisors (see below), whose sum is σ = 356896800. Its totient is φ = 26439168.

The previous prime is 102708719. The next prime is 102708721. The reversal of 102708720 is 27807201.

It is an interprime number because it is at equal distance from previous prime (102708719) and next prime (102708721).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102708721) 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, 18421 + ... + 23339.

It is an arithmetic number, because the mean of its divisors is an integer number (2974140).

Almost surely, 2102708720 is an apocalyptic number.

102708720 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 102708720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178448400).

102708720 is an abundant number, since it is smaller than the sum of its proper divisors (254188080).

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

102708720 is a wasteful number, since it uses less digits than its factorization.

102708720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4967 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 102708720 is about 10134.5310695661. The cubic root of 102708720 is about 468.3125241053.

The spelling of 102708720 in words is "one hundred two million, seven hundred eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1044 1160 1305 1392 1740 2088 2320 2610 3480 4176 4919 5220 6960 9838 10440 14757 19676 20880 24595 29514 39352 44271 49190 59028 73785 78704 88542 98380 118056 142651 147570 177084 196760 221355 236112 285302 295140 354168 393520 427953 442710 570604 590280 708336 713255 855906 885420 1141208 1180560 1283859 1426510 1711812 1770840 2139765 2282416 2567718 2853020 3423624 3541680 4279530 5135436 5706040 6419295 6847248 8559060 10270872 11412080 12838590 17118120 20541744 25677180 34236240 51354360 102708720