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61028240 = 24571383101
BaseRepresentation
bin1110100011001…
…1011110010000
311020211120000012
43220303132100
5111110400430
610020014052
71340505620
oct350633620
9136746005
1061028240
11314a3469
1218531328
13c849cb0
148168880
155557695
hex3a33790

61028240 has 160 divisors (see below), whose sum is σ = 178488576. Its totient is φ = 18892800.

The previous prime is 61028239. The next prime is 61028251. The reversal of 61028240 is 4282016.

61028240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 604190 + ... + 604290.

Almost surely, 261028240 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 61028240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89244288).

61028240 is an abundant number, since it is smaller than the sum of its proper divisors (117460336).

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

61028240 is a wasteful number, since it uses less digits than its factorization.

61028240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 61028240 is about 7812.0573474598. The cubic root of 61028240 is about 393.7104557583.

The spelling of 61028240 in words is "sixty-one million, twenty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 83 91 101 104 112 130 140 166 182 202 208 260 280 332 364 404 415 455 505 520 560 581 664 707 728 808 830 910 1010 1040 1079 1162 1313 1328 1414 1456 1616 1660 1820 2020 2158 2324 2626 2828 2905 3320 3535 3640 4040 4316 4648 5252 5395 5656 5810 6565 6640 7070 7280 7553 8080 8383 8632 9191 9296 10504 10790 11312 11620 13130 14140 15106 16766 17264 18382 21008 21580 23240 26260 28280 30212 33532 36764 37765 41915 43160 45955 46480 52520 56560 58681 60424 67064 73528 75530 83830 86320 91910 105040 108979 117362 120848 134128 147056 151060 167660 183820 217958 234724 293405 302120 335320 367640 435916 469448 544895 586810 604240 670640 735280 762853 871832 938896 1089790 1173620 1525706 1743664 2179580 2347240 3051412 3814265 4359160 4694480 6102824 7628530 8718320 12205648 15257060 30514120 61028240