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71696625 = 35371113191
BaseRepresentation
bin1000100011000…
…00000011110001
311222220120021120
410101200003301
5121323243000
611040412453
71530261030
oct421400361
9158816246
1071696625
113751a810
1220017129
1311b13b50
149744717
1564636a0
hex44600f1

71696625 has 128 divisors (see below), whose sum is σ = 161021952. Its totient is φ = 27360000.

The previous prime is 71696593. The next prime is 71696641. The reversal of 71696625 is 52669617.

It is not a de Polignac number, because 71696625 - 25 = 71696593 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

Its product of digits (136080) is a multiple of the sum of its prime factors (240).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 375280 + ... + 375470.

It is an arithmetic number, because the mean of its divisors is an integer number (1257984).

Almost surely, 271696625 is an apocalyptic number.

71696625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

71696625 is an abundant number, since it is smaller than the sum of its proper divisors (89325327).

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

71696625 is a wasteful number, since it uses less digits than its factorization.

71696625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 230 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 71696625 is about 8467.3859602595. The cubic root of 71696625 is about 415.4316407007.

It can be divided in two parts, 71 and 696625, that added together give a palindrome (696696).

The spelling of 71696625 in words is "seventy-one million, six hundred ninety-six thousand, six hundred twenty-five".

Divisors: 1 3 5 7 11 13 15 21 25 33 35 39 55 65 75 77 91 105 125 143 165 175 191 195 231 273 275 325 375 385 429 455 525 573 715 825 875 955 975 1001 1155 1337 1365 1375 1625 1925 2101 2145 2275 2483 2625 2865 3003 3575 4011 4125 4775 4875 5005 5775 6303 6685 6825 7449 9625 10505 10725 11375 12415 14325 14707 15015 17381 17875 20055 23875 25025 27313 28875 31515 33425 34125 37245 44121 52143 52525 53625 62075 71625 73535 75075 81939 86905 100275 125125 136565 157575 167125 186225 191191 220605 260715 262625 310375 367675 375375 409695 434525 501375 573573 682825 787875 931125 955955 1103025 1303575 1838375 2048475 2172625 2867865 3414125 4779775 5515125 6517875 10242375 14339325 23898875 71696625