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102807040 = 29575737
BaseRepresentation
bin1100010000010…
…11011000000000
321011110010202011
412020023120000
5202304311130
614111302304
72355562660
oct610133000
9234403664
10102807040
11530394a6
122a51a994
13183b738b
14d9221a0
15905b52a
hex620b600

102807040 has 80 divisors (see below), whose sum is σ = 281758752. Its totient is φ = 35241984.

The previous prime is 102807017. The next prime is 102807083. The reversal of 102807040 is 40708201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15052 + ... + 20788.

Almost surely, 2102807040 is an apocalyptic number.

102807040 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 102807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140879376).

102807040 is an abundant number, since it is smaller than the sum of its proper divisors (178951712).

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

102807040 is an frugal number, since it uses more digits than its factorization.

102807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5767 (or 5751 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 102807040 is about 10139.3806516966. The cubic root of 102807040 is about 468.4619103270.

The spelling of 102807040 in words is "one hundred two million, eight hundred seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1792 2240 2560 3584 4480 5737 8960 11474 17920 22948 28685 40159 45896 57370 80318 91792 114740 160636 183584 200795 229480 321272 367168 401590 458960 642544 734336 803180 917920 1285088 1468672 1606360 1835840 2570176 2937344 3212720 3671680 5140352 6425440 7343360 10280704 12850880 14686720 20561408 25701760 51403520 102807040