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61052160 = 2835131223
BaseRepresentation
bin1110100011100…
…1010100000000
311020212202211010
43220321110000
5111112132120
610020320520
71340635431
oct350712400
9136782733
1061052160
113150a434
1218543140
13c857b50
148173488
15555e7e0
hex3a39500

61052160 has 144 divisors (see below), whose sum is σ = 210155904. Its totient is φ = 15015936.

The previous prime is 61052141. The next prime is 61052161. The reversal of 61052160 is 6125016.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61052161) 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, 49309 + ... + 50531.

It is an arithmetic number, because the mean of its divisors is an integer number (1459416).

Almost surely, 261052160 is an apocalyptic number.

61052160 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 61052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105077952).

61052160 is an abundant number, since it is smaller than the sum of its proper divisors (149103744).

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

61052160 is a wasteful number, since it uses less digits than its factorization.

61052160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 61052160 is about 7813.5881642175. The cubic root of 61052160 is about 393.7618872702.

Adding to 61052160 its reverse (6125016), we get a palindrome (67177176).

The spelling of 61052160 in words is "sixty-one million, fifty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1223 1248 1280 1560 1664 1920 2080 2446 2496 3120 3328 3669 3840 4160 4892 4992 6115 6240 7338 8320 9784 9984 12230 12480 14676 15899 16640 18345 19568 24460 24960 29352 31798 36690 39136 47697 48920 49920 58704 63596 73380 78272 79495 95394 97840 117408 127192 146760 156544 158990 190788 195680 234816 238485 254384 293520 313088 317980 381576 391360 469632 476970 508768 587040 635960 763152 782720 939264 953940 1017536 1174080 1271920 1526304 1565440 1907880 2035072 2348160 2543840 3052608 3815760 4070144 4696320 5087680 6105216 7631520 10175360 12210432 15263040 20350720 30526080 61052160