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120424434 = 231347107307
BaseRepresentation
bin1110010110110…
…00011111110010
322101121012021020
413023120133302
5221312040214
615541040310
72661406434
oct713303762
9271535236
10120424434
1161a81729
12343b6096
131bc45180
1411dca654
15a88b4a9
hex72d87f2

120424434 has 64 divisors (see below), whose sum is σ = 268240896. Its totient is φ = 35809344.

The previous prime is 120424397. The next prime is 120424453. The reversal of 120424434 is 434424021.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392109 + ... + 392415.

It is an arithmetic number, because the mean of its divisors is an integer number (4191264).

Almost surely, 2120424434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120424434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134120448).

120424434 is an abundant number, since it is smaller than the sum of its proper divisors (147816462).

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

120424434 is a wasteful number, since it uses less digits than its factorization.

120424434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 120424434 is about 10973.8067232843. The cubic root of 120424434 is about 493.8232551888.

Adding to 120424434 its reverse (434424021), we get a palindrome (554848455).

The spelling of 120424434 in words is "one hundred twenty million, four hundred twenty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 47 78 94 107 141 214 282 307 321 611 614 642 921 1222 1391 1833 1842 2782 3666 3991 4173 5029 7982 8346 10058 11973 14429 15087 23946 28858 30174 32849 43287 65377 65698 86574 98547 130754 187577 196131 197094 375154 392262 427037 562731 854074 1125462 1281111 1543903 2562222 3087806 4631709 9263418 20070739 40141478 60212217 120424434