Search a number
-
+
61373280 = 2535294409
BaseRepresentation
bin1110101000011…
…1101101100000
311021111002022110
43222013231200
5111202421110
610031235320
71343443563
oct352075540
9137432273
1061373280
1131709721
1218678b40
13c93b067
1482184da
1555c4a20
hex3a87b60

61373280 has 96 divisors (see below), whose sum is σ = 200037600. Its totient is φ = 15798272.

The previous prime is 61373261. The next prime is 61373297. The reversal of 61373280 is 8237316.

61373280 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 (30).

It is a congruent number.

It is an unprimeable number.

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, 11716 + ... + 16124.

It is an arithmetic number, because the mean of its divisors is an integer number (2083725).

Almost surely, 261373280 is an apocalyptic number.

61373280 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 61373280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100018800).

61373280 is an abundant number, since it is smaller than the sum of its proper divisors (138664320).

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

61373280 is a wasteful number, since it uses less digits than its factorization.

61373280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4456 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 61373280 is about 7834.1100324159. The cubic root of 61373280 is about 394.4510453758.

The spelling of 61373280 in words is "sixty-one million, three hundred seventy-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4409 4640 6960 8818 13227 13920 17636 22045 26454 35272 44090 52908 66135 70544 88180 105816 127861 132270 141088 176360 211632 255722 264540 352720 383583 423264 511444 529080 639305 705440 767166 1022888 1058160 1278610 1534332 1917915 2045776 2116320 2557220 3068664 3835830 4091552 5114440 6137328 7671660 10228880 12274656 15343320 20457760 30686640 61373280