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120429054 = 232172941331
BaseRepresentation
bin1110010110110…
…01100111111110
322101121102121100
413023121213332
5221312212204
615541113530
72661426054
oct713314776
9271542540
10120429054
1161a85149
12343b88a6
131bc472c5
1411dcc1d4
15a88ca39
hex72d99fe

120429054 has 96 divisors (see below), whose sum is σ = 293660640. Its totient is φ = 35481600.

The previous prime is 120429053. The next prime is 120429059. The reversal of 120429054 is 450924021.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120429053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363669 + ... + 363999.

It is an arithmetic number, because the mean of its divisors is an integer number (3058965).

Almost surely, 2120429054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120429054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146830320).

120429054 is an abundant number, since it is smaller than the sum of its proper divisors (173231586).

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

120429054 is a wasteful number, since it uses less digits than its factorization.

120429054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 120429054 is about 10974.0172225125. The cubic root of 120429054 is about 493.8295701704.

The spelling of 120429054 in words is "one hundred twenty million, four hundred twenty-nine thousand, fifty-four".

Divisors: 1 2 3 6 9 17 18 29 34 41 51 58 82 87 102 123 153 174 246 261 306 331 369 493 522 662 697 738 986 993 1189 1394 1479 1986 2091 2378 2958 2979 3567 4182 4437 5627 5958 6273 7134 8874 9599 10701 11254 12546 13571 16881 19198 20213 21402 27142 28797 33762 40426 40713 50643 57594 60639 81426 86391 101286 121278 122139 163183 172782 181917 230707 244278 326366 363834 393559 461414 489549 692121 787118 979098 1180677 1384242 1468647 2076363 2361354 2937294 3542031 4152726 6690503 7084062 13381006 20071509 40143018 60214527 120429054