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61341696 = 2193213
BaseRepresentation
bin1110101000000…
…0000000000000
311021102110222200
43222000000000
5111200413241
610030433200
71343252523
oct352000000
9137373880
1061341696
1131697a19
1218662800
13c929880
14820abba
1555ba4b6
hex3a80000

61341696 has 120 divisors (see below), whose sum is σ = 190840650. Its totient is φ = 18874368.

The previous prime is 61341659. The next prime is 61341701. The reversal of 61341696 is 69614316.

It can be written as a sum of positive squares in only one way, i.e., 58982400 + 2359296 = 7680^2 + 1536^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (23328) is a multiple of the sum of its prime divisors (18).

It is a nialpdrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 61341696.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4718586 + ... + 4718598.

Almost surely, 261341696 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 61341696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95420325).

61341696 is an abundant number, since it is smaller than the sum of its proper divisors (129498954).

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

61341696 is an frugal number, since it uses more digits than its factorization.

61341696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 18 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 61341696 is about 7832.0939728785. The cubic root of 61341696 is about 394.3833694559.

The spelling of 61341696 in words is "sixty-one million, three hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2048 2304 2496 3072 3328 3744 4096 4608 4992 6144 6656 7488 8192 9216 9984 12288 13312 14976 16384 18432 19968 24576 26624 29952 32768 36864 39936 49152 53248 59904 65536 73728 79872 98304 106496 119808 131072 147456 159744 196608 212992 239616 262144 294912 319488 393216 425984 479232 524288 589824 638976 786432 851968 958464 1179648 1277952 1572864 1703936 1916928 2359296 2555904 3407872 3833856 4718592 5111808 6815744 7667712 10223616 15335424 20447232 30670848 61341696