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120103424 = 297233147
BaseRepresentation
bin1110010100010…
…10001000000000
322100222212220222
413022022020000
5221221302144
615530122212
72655601520
oct712121000
9270885828
10120103424
1161882531
1234280368
131bb6201c
1411d45680
15a8262ee
hex728a200

120103424 has 160 divisors (see below), whose sum is σ = 301694976. Its totient is φ = 46632960.

The previous prime is 120103411. The next prime is 120103433. The reversal of 120103424 is 424301021.

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, 2555369 + ... + 2555415.

Almost surely, 2120103424 is an apocalyptic number.

120103424 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 120103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150847488).

120103424 is an abundant number, since it is smaller than the sum of its proper divisors (181591552).

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

120103424 is an equidigital number, since it uses as much as digits as its factorization.

120103424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 120103424 is about 10959.1707715502. The cubic root of 120103424 is about 493.3840772412.

Adding to 120103424 its reverse (424301021), we get a palindrome (544404445).

The spelling of 120103424 in words is "one hundred twenty million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 47 56 62 64 92 94 112 124 128 161 184 188 217 224 248 256 322 329 368 376 434 448 496 512 644 658 713 736 752 868 896 992 1081 1288 1316 1426 1457 1472 1504 1736 1792 1984 2162 2576 2632 2852 2914 2944 3008 3472 3584 3968 4324 4991 5152 5264 5704 5828 5888 6016 6944 7567 7936 8648 9982 10199 10304 10528 11408 11656 11776 12032 13888 15134 15872 17296 19964 20398 20608 21056 22816 23312 24064 27776 30268 33511 34592 39928 40796 41216 42112 45632 46624 55552 60536 67022 69184 79856 81592 82432 84224 91264 93248 111104 121072 134044 138368 159712 163184 168448 182528 186496 234577 242144 268088 276736 319424 326368 365056 372992 469154 484288 536176 553472 638848 652736 745984 938308 968576 1072352 1277696 1305472 1876616 1937152 2144704 2555392 2610944 3753232 3874304 4289408 5221888 7506464 8578816 15012928 17157632 30025856 60051712 120103424