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61441120 = 25513109271
BaseRepresentation
bin1110101001100…
…0010001100000
311021121112101001
43222120101200
5111212103440
610032521344
71344145426
oct352302140
9137545331
1061441120
1131755694
12186b0254
13c962bc0
148235116
1555d9b9a
hex3a98460

61441120 has 96 divisors (see below), whose sum is σ = 158336640. Its totient is φ = 22394880.

The previous prime is 61441099. The next prime is 61441129. The reversal of 61441120 is 2114416.

It is a super-2 number, since 2×614411202 = 7550022453708800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61441129) 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, 226585 + ... + 226855.

It is an arithmetic number, because the mean of its divisors is an integer number (1649340).

Almost surely, 261441120 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 61441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79168320).

61441120 is an abundant number, since it is smaller than the sum of its proper divisors (96895520).

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

61441120 is a wasteful number, since it uses less digits than its factorization.

61441120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 61441120 is about 7838.4386200314. The cubic root of 61441120 is about 394.5963295845.

Adding to 61441120 its reverse (2114416), we get a palindrome (63555536).

The spelling of 61441120 in words is "sixty-one million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 109 130 160 208 218 260 271 416 436 520 542 545 872 1040 1084 1090 1355 1417 1744 2080 2168 2180 2710 2834 3488 3523 4336 4360 5420 5668 7046 7085 8672 8720 10840 11336 14092 14170 17440 17615 21680 22672 28184 28340 29539 35230 43360 45344 56368 56680 59078 70460 112736 113360 118156 140920 147695 226720 236312 281840 295390 384007 472624 563680 590780 768014 945248 1181560 1536028 1920035 2363120 3072056 3840070 4726240 6144112 7680140 12288224 15360280 30720560 61441120