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115492480 = 275181997
BaseRepresentation
bin1101110001001…
…00011010000000
322001022121220021
412320210122000
5214031224410
615243223224
72601445525
oct670443200
9261277807
10115492480
115a213234
1232817b14
131ac0935c
14114a514c
15a214eda
hex6e24680

115492480 has 64 divisors (see below), whose sum is σ = 277903080. Its totient is φ = 45895680.

The previous prime is 115492477. The next prime is 115492547. The reversal of 115492480 is 84294511.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 78428736 + 37063744 = 8856^2 + 6088^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115342 + ... + 116338.

Almost surely, 2115492480 is an apocalyptic number.

115492480 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 115492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138951540).

115492480 is an abundant number, since it is smaller than the sum of its proper divisors (162410600).

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

115492480 is an equidigital number, since it uses as much as digits as its factorization.

115492480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 115492480 is about 10746.7427623443. The cubic root of 115492480 is about 486.9875992440.

The spelling of 115492480 in words is "one hundred fifteen million, four hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 181 320 362 640 724 905 997 1448 1810 1994 2896 3620 3988 4985 5792 7240 7976 9970 11584 14480 15952 19940 23168 28960 31904 39880 57920 63808 79760 115840 127616 159520 180457 319040 360914 638080 721828 902285 1443656 1804570 2887312 3609140 5774624 7218280 11549248 14436560 23098496 28873120 57746240 115492480