Search a number
-
+
75700020 = 223511210427
BaseRepresentation
bin1001000001100…
…01011100110100
312021102221220110
410200301130310
5123334400040
611302303020
71606303524
oct440613464
9167387813
1075700020
1139804600
1221427a70
13128b6116
14a0a7684
1569a4980
hex4831734

75700020 has 72 divisors (see below), whose sum is σ = 233003232. Its totient is φ = 18349760.

The previous prime is 75700019. The next prime is 75700021. The reversal of 75700020 is 2000757.

It is an interprime number because it is at equal distance from previous prime (75700019) and next prime (75700021).

It is a self number, because there is not a number n which added to its sum of digits gives 75700020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75700021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2047 + ... + 12473.

It is an arithmetic number, because the mean of its divisors is an integer number (3236156).

Almost surely, 275700020 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 75700020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116501616).

75700020 is an abundant number, since it is smaller than the sum of its proper divisors (157303212).

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

75700020 is a wasteful number, since it uses less digits than its factorization.

75700020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10461 (or 10448 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 75700020 is about 8700.5758430118. The cubic root of 75700020 is about 423.0243155101.

Adding to 75700020 its reverse (2000757), we get a palindrome (77700777).

The spelling of 75700020 in words is "seventy-five million, seven hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 10427 20854 31281 41708 52135 62562 104270 114697 125124 156405 208540 229394 312810 344091 458788 573485 625620 688182 1146970 1261667 1376364 1720455 2293940 2523334 3440910 3785001 5046668 6308335 6881820 7570002 12616670 15140004 18925005 25233340 37850010 75700020