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103430520 = 233653547
BaseRepresentation
bin1100010101000…
…11100101111000
321012121211000000
412022203211320
5202434234040
614132513000
72364100464
oct612434570
9235554000
10103430520
1153424976
122a77b760
13185750bb
14da454a4
159131130
hex62a3978

103430520 has 112 divisors (see below), whose sum is σ = 349016760. Its totient is φ = 27573696.

The previous prime is 103430497. The next prime is 103430527. The reversal of 103430520 is 25034301.

103430520 is a `hidden beast` number, since 103 + 43 + 0 + 520 = 666.

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 = 103430493 and 103430502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103430527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 27387 + ... + 30933.

Almost surely, 2103430520 is an apocalyptic number.

103430520 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 103430520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174508380).

103430520 is an abundant number, since it is smaller than the sum of its proper divisors (245586240).

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

103430520 is an equidigital number, since it uses as much as digits as its factorization.

103430520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 103430520 is about 10170.0796457058. The cubic root of 103430520 is about 469.4070082953.

Adding to 103430520 its reverse (25034301), we get a palindrome (128464821).

The spelling of 103430520 in words is "one hundred three million, four hundred thirty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2430 2916 3240 3547 3645 4860 5832 7094 7290 9720 10641 14188 14580 17735 21282 28376 29160 31923 35470 42564 53205 63846 70940 85128 95769 106410 127692 141880 159615 191538 212820 255384 287307 319230 383076 425640 478845 574614 638460 766152 861921 957690 1149228 1276920 1436535 1723842 1915380 2298456 2585763 2873070 3447684 3830760 4309605 5171526 5746140 6895368 8619210 10343052 11492280 12928815 17238420 20686104 25857630 34476840 51715260 103430520