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61221440 = 2657151181
BaseRepresentation
bin1110100110001…
…0101001000000
311021012101000202
43221202221000
5111133041230
610024104332
71342242110
oct351425100
9137171022
1061221440
1131615635
12186050a8
13c8b6c07
1481b9040
155594a45
hex3a62a40

61221440 has 112 divisors (see below), whose sum is σ = 168639744. Its totient is φ = 20736000.

The previous prime is 61221389. The next prime is 61221443. The reversal of 61221440 is 4412216.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (61221443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338150 + ... + 338330.

It is an arithmetic number, because the mean of its divisors is an integer number (1505712).

Almost surely, 261221440 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 61221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84319872).

61221440 is an abundant number, since it is smaller than the sum of its proper divisors (107418304).

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

61221440 is a wasteful number, since it uses less digits than its factorization.

61221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 61221440 is about 7824.4130770301. The cubic root of 61221440 is about 394.1254807453.

Adding to 61221440 its reverse (4412216), we get a palindrome (65633656).

The spelling of 61221440 in words is "sixty-one million, two hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 151 160 181 224 280 302 320 362 448 560 604 724 755 905 1057 1120 1208 1267 1448 1510 1810 2114 2240 2416 2534 2896 3020 3620 4228 4832 5068 5285 5792 6040 6335 7240 8456 9664 10136 10570 11584 12080 12670 14480 16912 20272 21140 24160 25340 27331 28960 33824 40544 42280 48320 50680 54662 57920 67648 81088 84560 101360 109324 136655 169120 191317 202720 218648 273310 338240 382634 405440 437296 546620 765268 874592 956585 1093240 1530536 1749184 1913170 2186480 3061072 3826340 4372960 6122144 7652680 8745920 12244288 15305360 30610720 61221440