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55429120 = 21155413
BaseRepresentation
bin1101001101110…
…0100000000000
310212022002110101
43103130200000
5103142212440
65300012144
71242065635
oct323344000
9125262411
1055429120
112931979a
1216691054
13b6395c6
14750c18c
154ced69a
hex34dc800

55429120 has 48 divisors (see below), whose sum is σ = 133021980. Its totient is φ = 22167552.

The previous prime is 55429117. The next prime is 55429123. The reversal of 55429120 is 2192455.

It is an interprime number because it is at equal distance from previous prime (55429117) and next prime (55429123).

It can be written as a sum of positive squares in 2 ways, for example, as 52765696 + 2663424 = 7264^2 + 1632^2 .

It is not an unprimeable number, because it can be changed into a prime (55429123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7534 + ... + 12946.

Almost surely, 255429120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66510990).

55429120 is an abundant number, since it is smaller than the sum of its proper divisors (77592860).

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

55429120 is an equidigital number, since it uses as much as digits as its factorization.

55429120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5440 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 55429120 is about 7445.0735389249. The cubic root of 55429120 is about 381.2817291518.

The spelling of 55429120 in words is "fifty-five million, four hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 5120 5413 10240 10826 21652 27065 43304 54130 86608 108260 173216 216520 346432 433040 692864 866080 1385728 1732160 2771456 3464320 5542912 6928640 11085824 13857280 27714560 55429120