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190103424 = 2737197359
BaseRepresentation
bin10110101010010…
…11111110000000
3111020201020212120
423111023332000
5342131302144
630510324240
74465565250
oct1325137600
9436636776
10190103424
1198343575
12537b9680
1330500844
141b367960
1511a51e19
hexb54bf80

190103424 has 128 divisors (see below), whose sum is σ = 581644800. Its totient is φ = 53889024.

The previous prime is 190103399. The next prime is 190103471. The reversal of 190103424 is 424301091.

190103424 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1901034242 = 72278623633047552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 190103394 and 190103403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529357 + ... + 529715.

It is an arithmetic number, because the mean of its divisors is an integer number (4544100).

Almost surely, 2190103424 is an apocalyptic number.

190103424 is a gapful number since it is divisible by the number (14) 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 190103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290822400).

190103424 is an abundant number, since it is smaller than the sum of its proper divisors (391541376).

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

190103424 is a wasteful number, since it uses less digits than its factorization.

190103424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 190103424 is about 13787.7998244825. The cubic root of 190103424 is about 574.9940001894.

The spelling of 190103424 in words is "one hundred ninety million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 197 224 336 359 384 394 448 591 672 718 788 896 1077 1182 1344 1379 1436 1576 2154 2364 2513 2688 2758 2872 3152 4137 4308 4728 5026 5516 5744 6304 7539 8274 8616 9456 10052 11032 11488 12608 15078 16548 17232 18912 20104 22064 22976 25216 30156 33096 34464 37824 40208 44128 45952 60312 66192 68928 70723 75648 80416 88256 120624 132384 137856 141446 160832 176512 212169 241248 264768 282892 321664 424338 482496 495061 529536 565784 848676 964992 990122 1131568 1485183 1697352 1980244 2263136 2970366 3394704 3960488 4526272 5940732 6789408 7920976 9052544 11881464 13578816 15841952 23762928 27157632 31683904 47525856 63367808 95051712 190103424