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103525020 = 22335474079
BaseRepresentation
bin1100010101110…
…10101010011100
321012210121122000
412022322222130
5203000300040
614134522300
72364643134
oct612725234
9235717560
10103525020
1153489975
122a806390
13185a9111
14da6bac4
15914e130
hex62baa9c

103525020 has 96 divisors (see below), whose sum is σ = 329011200. Its totient is φ = 27012672.

The previous prime is 103525013. The next prime is 103525043. The reversal of 103525020 is 20525301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103524984 and 103525002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23341 + ... + 27419.

It is an arithmetic number, because the mean of its divisors is an integer number (3427200).

Almost surely, 2103525020 is an apocalyptic number.

103525020 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 103525020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164505600).

103525020 is an abundant number, since it is smaller than the sum of its proper divisors (225486180).

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

103525020 is a wasteful number, since it uses less digits than its factorization.

103525020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4144 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 103525020 is about 10174.7245662966. The cubic root of 103525020 is about 469.5499237504.

The spelling of 103525020 in words is "one hundred three million, five hundred twenty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 540 564 705 846 940 1269 1410 1692 2115 2538 2820 4079 4230 5076 6345 8158 8460 12237 12690 16316 20395 24474 25380 36711 40790 48948 61185 73422 81580 110133 122370 146844 183555 191713 220266 244740 367110 383426 440532 550665 575139 734220 766852 958565 1101330 1150278 1725417 1917130 2202660 2300556 2875695 3450834 3834260 5176251 5751390 6901668 8627085 10352502 11502780 17254170 20705004 25881255 34508340 51762510 103525020