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103001430 = 23572411709
BaseRepresentation
bin1100010001110…
…10110101010110
321011211000101210
412020322311112
5202332021210
614115402250
72360332500
oct610726526
9234730353
10103001430
1153161554
122a5b3386
13184549bc
14d972d70
159098e20
hex623ad56

103001430 has 96 divisors (see below), whose sum is σ = 294749280. Its totient is φ = 22955520.

The previous prime is 103001411. The next prime is 103001441. The reversal of 103001430 is 34100301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59416 + ... + 61124.

It is an arithmetic number, because the mean of its divisors is an integer number (3070305).

Almost surely, 2103001430 is an apocalyptic number.

103001430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103001430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147374640).

103001430 is an abundant number, since it is smaller than the sum of its proper divisors (191747850).

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

103001430 is a wasteful number, since it uses less digits than its factorization.

103001430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 103001430 is about 10148.9620158911. The cubic root of 103001430 is about 468.7569840737.

Adding to 103001430 its reverse (34100301), we get a palindrome (137101731).

The spelling of 103001430 in words is "one hundred three million, one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 49 70 82 98 105 123 147 205 210 245 246 287 294 410 490 574 615 735 861 1230 1435 1470 1709 1722 2009 2870 3418 4018 4305 5127 6027 8545 8610 10045 10254 11963 12054 17090 20090 23926 25635 30135 35889 51270 59815 60270 70069 71778 83741 119630 140138 167482 179445 210207 251223 350345 358890 418705 420414 490483 502446 700690 837410 980966 1051035 1256115 1471449 2102070 2452415 2512230 2942898 3433381 4904830 6866762 7357245 10300143 14714490 17166905 20600286 34333810 51500715 103001430