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115417420 = 22517794297
BaseRepresentation
bin1101110000100…
…10000101001100
322001011210221021
412320102011030
5214021324140
615241443524
72601013636
oct670220514
9261153837
10115417420
115a1718a8
12327a05a4
131abb1141
1411485a56
15a1ecb4a
hex6e1214c

115417420 has 48 divisors (see below), whose sum is σ = 259943040. Its totient is φ = 42891264.

The previous prime is 115417417. The next prime is 115417439. The reversal of 115417420 is 24714511.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24712 + ... + 29008.

It is an arithmetic number, because the mean of its divisors is an integer number (5415480).

Almost surely, 2115417420 is an apocalyptic number.

115417420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

115417420 is the 5372-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115417420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129971520).

115417420 is an abundant number, since it is smaller than the sum of its proper divisors (144525620).

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

115417420 is a wasteful number, since it uses less digits than its factorization.

115417420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4402 (or 4400 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 115417420 is about 10743.2499738208. The cubic root of 115417420 is about 486.8820766136.

The spelling of 115417420 in words is "one hundred fifteen million, four hundred seventeen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 79 85 158 170 316 340 395 790 1343 1580 2686 4297 5372 6715 8594 13430 17188 21485 26860 42970 73049 85940 146098 292196 339463 365245 678926 730490 1357852 1460980 1697315 3394630 5770871 6789260 11541742 23083484 28854355 57708710 115417420