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131709248 = 2611613067
BaseRepresentation
bin1111101100110…
…11100101000000
3100011211112010022
413312123211000
5232204143443
621022553012
73156336656
oct766334500
9304745108
10131709248
116838a120
1238138768
1321396788
14136c6dd6
15b869e68
hex7d9b940

131709248 has 56 divisors (see below), whose sum is σ = 289889184. Its totient is φ = 58867200.

The previous prime is 131709241. The next prime is 131709257. The reversal of 131709248 is 842907131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131709241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41411 + ... + 44477.

Almost surely, 2131709248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131709248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144944592).

131709248 is an abundant number, since it is smaller than the sum of its proper divisors (158179936).

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

131709248 is a wasteful number, since it uses less digits than its factorization.

131709248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3151 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 131709248 is about 11476.4649609538. The cubic root of 131709248 is about 508.7902223771.

The spelling of 131709248 in words is "one hundred thirty-one million, seven hundred nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 176 244 352 488 671 704 976 1342 1952 2684 3067 3904 5368 6134 10736 12268 21472 24536 33737 42944 49072 67474 98144 134948 187087 196288 269896 374174 539792 748348 1079584 1496696 2057957 2159168 2993392 4115914 5986784 8231828 11973568 16463656 32927312 65854624 131709248