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131073536 = 291117372
BaseRepresentation
bin1111101000000…
…00011000000000
3100010122020002102
413310000120000
5232023323121
621001205532
73151051406
oct764003000
9303566072
10131073536
1167a95540
1237a908a8
1321203309
141359d476
15b79190b
hex7d00600

131073536 has 120 divisors (see below), whose sum is σ = 310901976. Its totient is φ = 54558720.

The previous prime is 131073529. The next prime is 131073637. The reversal of 131073536 is 635370131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131073499 and 131073508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3542510 + ... + 3542546.

Almost surely, 2131073536 is an apocalyptic number.

131073536 is a gapful number since it is divisible by the number (16) 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 131073536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155450988).

131073536 is an abundant number, since it is smaller than the sum of its proper divisors (179828440).

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

131073536 is an equidigital number, since it uses as much as digits as its factorization.

131073536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 29.

The square root of 131073536 is about 11448.7351266417. The cubic root of 131073536 is about 507.9703208734.

The spelling of 131073536 in words is "one hundred thirty-one million, seventy-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 37 44 64 68 74 88 128 136 148 176 187 256 272 296 352 374 407 512 544 592 629 704 748 814 1088 1184 1258 1369 1408 1496 1628 2176 2368 2516 2738 2816 2992 3256 4352 4736 5032 5476 5632 5984 6512 6919 8704 9472 10064 10952 11968 13024 13838 15059 18944 20128 21904 23273 23936 26048 27676 30118 40256 43808 46546 47872 52096 55352 60236 80512 87616 93092 95744 104192 110704 120472 161024 175232 186184 208384 221408 240944 256003 322048 350464 372368 442816 481888 512006 700928 744736 885632 963776 1024012 1489472 1771264 1927552 2048024 2978944 3542528 3855104 4096048 5957888 7710208 8192096 11915776 16384192 32768384 65536768 131073536