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10055000720 = 245413065549
BaseRepresentation
bin10010101110101001…
…10010001010010000
3221221202020221221002
421113110302022100
5131043040010340
64341425321132
7504113044622
oct112724621220
927852227832
1010055000720
11429a870956
121b474961a8
13c43206a8b
146b559cc12
153dcb24715
hex257532290

10055000720 has 40 divisors (see below), whose sum is σ = 23948076600. Its totient is φ = 3923901440.

The previous prime is 10055000699. The next prime is 10055000729. The reversal of 10055000720 is 2700055001.

It can be written as a sum of positive squares in 4 ways, for example, as 516743824 + 9538256896 = 22732^2 + 97664^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×100550007202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10055000692 and 10055000701.

It is not an unprimeable number, because it can be changed into a prime (10055000729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1529495 + ... + 1536054.

It is an arithmetic number, because the mean of its divisors is an integer number (598701915).

Almost surely, 210055000720 is an apocalyptic number.

10055000720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10055000720 is an abundant number, since it is smaller than the sum of its proper divisors (13893075880).

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

10055000720 is a wasteful number, since it uses less digits than its factorization.

10055000720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065603 (or 3065597 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

Adding to 10055000720 its reverse (2700055001), we get a palindrome (12755055721).

The spelling of 10055000720 in words is "ten billion, fifty-five million, seven hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 3065549 6131098 12262196 15327745 24524392 30655490 49048784 61310980 122621960 125687509 245243920 251375018 502750036 628437545 1005500072 1256875090 2011000144 2513750180 5027500360 10055000720