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115401120 = 25352310453
BaseRepresentation
bin1101110000011…
…10000110100000
322001010222120120
412320032012200
5214020313440
615241240240
72600615262
oct670160640
9261128516
10115401120
115a16062a
1232793080
131aba68b3
141147db32
15a1e7dd0
hex6e0e1a0

115401120 has 96 divisors (see below), whose sum is σ = 379354752. Its totient is φ = 29432832.

The previous prime is 115401119. The next prime is 115401131. The reversal of 115401120 is 21104511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 115401120.

It is a congruent number.

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, 5814 + ... + 16266.

It is an arithmetic number, because the mean of its divisors is an integer number (3951612).

Almost surely, 2115401120 is an apocalyptic number.

115401120 is a gapful number since it is divisible by the number (10) 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 115401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189677376).

115401120 is an abundant number, since it is smaller than the sum of its proper divisors (263953632).

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

115401120 is a wasteful number, since it uses less digits than its factorization.

115401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10494 (or 10486 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 115401120 is about 10742.4913311578. The cubic root of 115401120 is about 486.8591553149.

Adding to 115401120 its reverse (21104511), we get a palindrome (136505631).

The spelling of 115401120 in words is "one hundred fifteen million, four hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 10453 11040 20906 31359 41812 52265 62718 83624 104530 125436 156795 167248 209060 240419 250872 313590 334496 418120 480838 501744 627180 721257 836240 961676 1003488 1202095 1254360 1442514 1672480 1923352 2404190 2508720 2885028 3606285 3846704 4808380 5017440 5770056 7212570 7693408 9616760 11540112 14425140 19233520 23080224 28850280 38467040 57700560 115401120