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131730552 = 233217281383
BaseRepresentation
bin1111101101000…
…00110001111000
3100011212121100100
413312200301320
5232210334202
621023235400
73156456042
oct766406170
9304777310
10131730552
11683a4128
1238148b60
13213a3395
14136d0a92
15b87141c
hex7da0c78

131730552 has 96 divisors (see below), whose sum is σ = 380090880. Its totient is φ = 41072640.

The previous prime is 131730527. The next prime is 131730583. The reversal of 131730552 is 255037131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343753 + ... + 344135.

It is an arithmetic number, because the mean of its divisors is an integer number (3959280).

Almost surely, 2131730552 is an apocalyptic number.

131730552 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 131730552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190045440).

131730552 is an abundant number, since it is smaller than the sum of its proper divisors (248360328).

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

131730552 is a wasteful number, since it uses less digits than its factorization.

131730552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 131730552 is about 11477.3930837974. The cubic root of 131730552 is about 508.8176532086.

Adding to 131730552 its reverse (255037131), we get a palindrome (386767683).

The spelling of 131730552 in words is "one hundred thirty-one million, seven hundred thirty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 281 306 383 408 562 612 766 843 1124 1149 1224 1532 1686 2248 2298 2529 3064 3372 3447 4596 4777 5058 6511 6744 6894 9192 9554 10116 13022 13788 14331 19108 19533 20232 26044 27576 28662 38216 39066 42993 52088 57324 58599 78132 85986 107623 114648 117198 156264 171972 215246 234396 322869 343944 430492 468792 645738 860984 968607 1291476 1829591 1937214 2582952 3659182 3874428 5488773 7318364 7748856 10977546 14636728 16466319 21955092 32932638 43910184 65865276 131730552