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131698280 = 2357329331
BaseRepresentation
bin1111101100110…
…00111001101000
3100011210222002002
413312120321220
5232203321110
621022430132
73156263000
oct766307150
9304728062
10131698280
116838195a
1238132348
132139179c
14136c3000
15b866aa5
hex7d98e68

131698280 has 128 divisors (see below), whose sum is σ = 358560000. Its totient is φ = 43464960.

The previous prime is 131698279. The next prime is 131698283. The reversal of 131698280 is 82896131.

It is not an unprimeable number, because it can be changed into a prime (131698283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397715 + ... + 398045.

It is an arithmetic number, because the mean of its divisors is an integer number (2801250).

Almost surely, 2131698280 is an apocalyptic number.

131698280 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 131698280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179280000).

131698280 is an abundant number, since it is smaller than the sum of its proper divisors (226861720).

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

131698280 is a wasteful number, since it uses less digits than its factorization.

131698280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 131698280 is about 11475.9871035131. The cubic root of 131698280 is about 508.7760989293.

The spelling of 131698280 in words is "one hundred thirty-one million, six hundred ninety-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 49 56 58 70 98 116 140 145 196 203 232 245 280 290 331 343 392 406 490 580 662 686 812 980 1015 1160 1324 1372 1421 1624 1655 1715 1960 2030 2317 2648 2744 2842 3310 3430 4060 4634 5684 6620 6860 7105 8120 9268 9599 9947 11368 11585 13240 13720 14210 16219 18536 19198 19894 23170 28420 32438 38396 39788 46340 47995 49735 56840 64876 67193 76792 79576 81095 92680 95990 99470 113533 129752 134386 162190 191980 198940 227066 268772 324380 335965 383960 397880 454132 470351 537544 567665 648760 671930 908264 940702 1135330 1343860 1881404 2270660 2351755 2687720 3292457 3762808 4541320 4703510 6584914 9407020 13169828 16462285 18814040 26339656 32924570 65849140 131698280