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103020432 = 24319374371
BaseRepresentation
bin1100010001111…
…11011110010000
321011211222110120
412020333132100
5202333123212
614120030240
72360442054
oct610773620
9234758416
10103020432
1153174859
122a602380
1318460548
14d979c64
15909e88c
hex623f790

103020432 has 160 divisors (see below), whose sum is σ = 298552320. Its totient is φ = 30481920.

The previous prime is 103020403. The next prime is 103020433. The reversal of 103020432 is 234020301.

It is a super-2 number, since 2×1030204322 = 21226418818933248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103020433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1450957 + ... + 1451027.

It is an arithmetic number, because the mean of its divisors is an integer number (1865952).

Almost surely, 2103020432 is an apocalyptic number.

103020432 is a gapful number since it is divisible by the number (12) 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 103020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149276160).

103020432 is an abundant number, since it is smaller than the sum of its proper divisors (195531888).

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

103020432 is a wasteful number, since it uses less digits than its factorization.

103020432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 103020432 is about 10149.8981275676. The cubic root of 103020432 is about 468.7858081801.

Adding to 103020432 its reverse (234020301), we get a palindrome (337040733).

The spelling of 103020432 in words is "one hundred three million, twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 43 48 57 71 74 76 86 111 114 129 142 148 152 172 213 222 228 258 284 296 304 344 426 444 456 516 568 592 688 703 817 852 888 912 1032 1136 1349 1406 1591 1634 1704 1776 2064 2109 2451 2627 2698 2812 3053 3182 3268 3408 4047 4218 4773 4902 5254 5396 5624 6106 6364 6536 7881 8094 8436 9159 9546 9804 10508 10792 11248 12212 12728 13072 15762 16188 16872 18318 19092 19608 21016 21584 24424 25456 30229 31524 32376 33744 36636 38184 39216 42032 48848 49913 58007 60458 63048 64752 73272 76368 90687 99826 112961 116014 120916 126096 146544 149739 174021 181374 199652 225922 232028 241832 299478 338883 348042 362748 399304 451844 464056 483664 598956 677766 696084 725496 798608 903688 928112 1197912 1355532 1392168 1450992 1807376 2146259 2395824 2711064 2784336 4292518 5422128 6438777 8585036 12877554 17170072 25755108 34340144 51510216 103020432