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103002800 = 24521913553
BaseRepresentation
bin1100010001110…
…11001010110000
321011211002021112
412020323022300
5202332042200
614115412452
72360336465
oct610731260
9234732245
10103002800
115316258a
122a5b4128
1318455504
14d97366c
159099535
hex623b2b0

103002800 has 60 divisors (see below), whose sum is σ = 260507880. Its totient is φ = 39029760.

The previous prime is 103002799. The next prime is 103002827. The reversal of 103002800 is 8200301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 824 + ... + 14376.

It is an arithmetic number, because the mean of its divisors is an integer number (4341798).

Almost surely, 2103002800 is an apocalyptic number.

103002800 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 103002800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130253940).

103002800 is an abundant number, since it is smaller than the sum of its proper divisors (157505080).

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

103002800 is a wasteful number, since it uses less digits than its factorization.

103002800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13590 (or 13579 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 103002800 is about 10149.0295102537. The cubic root of 103002800 is about 468.7590623433.

The spelling of 103002800 in words is "one hundred three million, two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3800 7600 13553 27106 54212 67765 108424 135530 216848 257507 271060 338825 515014 542120 677650 1030028 1084240 1287535 1355300 2060056 2575070 2710600 4120112 5150140 5421200 6437675 10300280 12875350 20600560 25750700 51501400 103002800