[go: up one dir, main page]

Search a number
-
+
61700640 = 2535191673
BaseRepresentation
bin1110101101011…
…1101000100000
311022002201100220
43223113220200
5111243410030
610042243040
71346306151
oct353275040
9138081326
1061700640
1131912671
12187b6480
13ca24071
1482a1928
15563ba10
hex3ad7a20

61700640 has 96 divisors (see below), whose sum is σ = 195664896. Its totient is φ = 16343040.

The previous prime is 61700629. The next prime is 61700647. The reversal of 61700640 is 4600716.

61700640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 61700640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61700647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91344 + ... + 92016.

It is an arithmetic number, because the mean of its divisors is an integer number (2038176).

Almost surely, 261700640 is an apocalyptic number.

61700640 is a gapful number since it is divisible by the number (60) 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 61700640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97832448).

61700640 is an abundant number, since it is smaller than the sum of its proper divisors (133964256).

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

61700640 is a wasteful number, since it uses less digits than its factorization.

61700640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 61700640 is about 7854.9754932781. The cubic root of 61700640 is about 395.1511252097.

The spelling of 61700640 in words is "sixty-one million, seven hundred thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 191 240 382 480 573 673 764 955 1146 1346 1528 1910 2019 2292 2692 2865 3056 3365 3820 4038 4584 5384 5730 6112 6730 7640 8076 9168 10095 10768 11460 13460 15280 16152 18336 20190 21536 22920 26920 30560 32304 40380 45840 53840 64608 80760 91680 107680 128543 161520 257086 323040 385629 514172 642715 771258 1028344 1285430 1542516 1928145 2056688 2570860 3085032 3856290 4113376 5141720 6170064 7712580 10283440 12340128 15425160 20566880 30850320 61700640