Search a number
-
+
61080720 = 2435307829
BaseRepresentation
bin1110100100000…
…0010010010000
311020221012222220
43221000102100
5111114040340
610021101040
71341114621
oct351002220
9136835886
1061080720
1131529938
1218557780
13c867b4c
14817da48
155567ed0
hex3a40490

61080720 has 80 divisors (see below), whose sum is σ = 190196160. Its totient is φ = 16215552.

The previous prime is 61080713. The next prime is 61080737. The reversal of 61080720 is 2708016.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73266 + ... + 74094.

It is an arithmetic number, because the mean of its divisors is an integer number (2377452).

Almost surely, 261080720 is an apocalyptic number.

61080720 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 61080720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95098080).

61080720 is an abundant number, since it is smaller than the sum of its proper divisors (129115440).

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

61080720 is a wasteful number, since it uses less digits than its factorization.

61080720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 61080720 is about 7815.4155359776. The cubic root of 61080720 is about 393.8232778712.

Adding to 61080720 its reverse (2708016), we get a palindrome (63788736).

The spelling of 61080720 in words is "sixty-one million, eighty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 307 614 829 921 1228 1535 1658 1842 2456 2487 3070 3316 3684 4145 4605 4912 4974 6140 6632 7368 8290 9210 9948 12280 12435 13264 14736 16580 18420 19896 24560 24870 33160 36840 39792 49740 66320 73680 99480 198960 254503 509006 763509 1018012 1272515 1527018 2036024 2545030 3054036 3817545 4072048 5090060 6108072 7635090 10180120 12216144 15270180 20360240 30540360 61080720