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117270432 = 25321929739
BaseRepresentation
bin1101111110101…
…10011110100000
322011122221210100
412333112132200
5220010123212
615345302400
72622532206
oct677263640
9264587710
10117270432
1160218014
1233334a00
131b3ac6b6
1411809076
15a466bdc
hex6fd67a0

117270432 has 144 divisors (see below), whose sum is σ = 363636000. Its totient is φ = 35707392.

The previous prime is 117270431. The next prime is 117270449. The reversal of 117270432 is 234072711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 117270396 and 117270405.

It is not an unprimeable number, because it can be changed into a prime (117270431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158319 + ... + 159057.

It is an arithmetic number, because the mean of its divisors is an integer number (2525250).

Almost surely, 2117270432 is an apocalyptic number.

117270432 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 117270432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181818000).

117270432 is an abundant number, since it is smaller than the sum of its proper divisors (246365568).

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

117270432 is a wasteful number, since it uses less digits than its factorization.

117270432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 117270432 is about 10829.1473348551. The cubic root of 117270432 is about 489.4738653668.

The spelling of 117270432 in words is "one hundred seventeen million, two hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 29 32 36 38 48 57 58 72 76 87 96 114 116 144 152 171 174 228 232 261 288 304 342 348 456 464 522 551 608 684 696 739 912 928 1044 1102 1368 1392 1478 1653 1824 2088 2204 2217 2736 2784 2956 3306 4176 4408 4434 4959 5472 5912 6612 6651 8352 8816 8868 9918 11824 13224 13302 14041 17632 17736 19836 21431 23648 26448 26604 28082 35472 39672 42123 42862 52896 53208 56164 64293 70944 79344 84246 85724 106416 112328 126369 128586 158688 168492 171448 192879 212832 224656 252738 257172 336984 342896 385758 407189 449312 505476 514344 673968 685792 771516 814378 1010952 1028688 1221567 1347936 1543032 1628756 2021904 2057376 2443134 3086064 3257512 3664701 4043808 4886268 6172128 6515024 7329402 9772536 13030048 14658804 19545072 29317608 39090144 58635216 117270432