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117530580 = 223519131787
BaseRepresentation
bin1110000000101…
…01111111010100
322012011011122110
413000111333110
5220041434310
615355031020
72624664516
oct700257724
9265134573
10117530580
1160385512
123343b470
131b470c2b
1411875bb6
15a4b8d20
hex7015fd4

117530580 has 96 divisors (see below), whose sum is σ = 349493760. Its totient is φ = 29427840.

The previous prime is 117530563. The next prime is 117530593. The reversal of 117530580 is 85035711.

It is a super-3 number, since 3×1175305803 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148947 + ... + 149733.

It is an arithmetic number, because the mean of its divisors is an integer number (3640560).

Almost surely, 2117530580 is an apocalyptic number.

117530580 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 117530580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174746880).

117530580 is an abundant number, since it is smaller than the sum of its proper divisors (231963180).

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

117530580 is a wasteful number, since it uses less digits than its factorization.

117530580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The square root of 117530580 is about 10841.1521527926. The cubic root of 117530580 is about 489.8355410881.

The spelling of 117530580 in words is "one hundred seventeen million, five hundred thirty thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 131 190 228 262 285 380 393 524 570 655 786 787 1140 1310 1572 1574 1965 2361 2489 2620 3148 3930 3935 4722 4978 7467 7860 7870 9444 9956 11805 12445 14934 14953 15740 23610 24890 29868 29906 37335 44859 47220 49780 59812 74670 74765 89718 103097 149340 149530 179436 206194 224295 299060 309291 412388 448590 515485 618582 897180 1030970 1237164 1546455 1958843 2061940 3092910 3917686 5876529 6185820 7835372 9794215 11753058 19588430 23506116 29382645 39176860 58765290 117530580