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115480332 = 2232112331409
BaseRepresentation
bin1101110001000…
…01011100001100
322001022000020100
412320201130030
5214030332312
615243051100
72601365232
oct670413414
9261260210
10115480332
115a2050a0
1232810a90
131ac03976
14114a0952
15a2115dc
hex6e2170c

115480332 has 144 divisors (see below), whose sum is σ = 343848960. Its totient is φ = 32313600.

The previous prime is 115480289. The next prime is 115480357. The reversal of 115480332 is 233084511.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 115480296 and 115480305.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282144 + ... + 282552.

It is an arithmetic number, because the mean of its divisors is an integer number (2387840).

Almost surely, 2115480332 is an apocalyptic number.

115480332 is a gapful number since it is divisible by the number (12) 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 115480332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171924480).

115480332 is an abundant number, since it is smaller than the sum of its proper divisors (228368628).

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

115480332 is a wasteful number, since it uses less digits than its factorization.

115480332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 479 counting only the distinct ones).

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

The square root of 115480332 is about 10746.1775529720. The cubic root of 115480332 is about 486.9705241560.

The spelling of 115480332 in words is "one hundred fifteen million, four hundred eighty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 31 33 36 44 46 62 66 69 92 93 99 124 132 138 186 198 207 253 276 279 341 372 396 409 414 506 558 682 713 759 818 828 1012 1023 1116 1227 1364 1426 1518 1636 2046 2139 2277 2454 2852 3036 3069 3681 4092 4278 4499 4554 4908 6138 6417 7362 7843 8556 8998 9108 9407 12276 12679 12834 13497 14724 15686 17996 18814 23529 25358 25668 26994 28221 31372 37628 38037 40491 47058 50716 53988 56442 70587 76074 80982 84663 94116 103477 112884 114111 139469 141174 152148 161964 169326 206954 228222 278938 282348 291617 310431 338652 413908 418407 456444 557876 583234 620862 836814 874851 931293 1166468 1241724 1255221 1673628 1749702 1862586 2510442 2624553 3207787 3499404 3725172 5020884 5249106 6415574 9623361 10498212 12831148 19246722 28870083 38493444 57740166 115480332