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60101244 = 22337241277
BaseRepresentation
bin1110010101000…
…1001001111100
311012002110102000
43211101021330
5110341214434
65544102300
71326565200
oct345211174
9135073360
1060101244
1130a1aa55
1218164990
13c5b4088
147da6b00
155422b99
hex395127c

60101244 has 144 divisors (see below), whose sum is σ = 186348960. Its totient is φ = 16692480.

The previous prime is 60101243. The next prime is 60101257. The reversal of 60101244 is 44210106.

60101244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×601012442 = 7224319060695072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60101243) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 216834 + ... + 217110.

It is an arithmetic number, because the mean of its divisors is an integer number (1294090).

Almost surely, 260101244 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 60101244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93174480).

60101244 is an abundant number, since it is smaller than the sum of its proper divisors (126247716).

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

60101244 is a wasteful number, since it uses less digits than its factorization.

60101244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 60101244 is about 7752.4992099322. The cubic root of 60101244 is about 391.7068386339.

The spelling of 60101244 in words is "sixty million, one hundred one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 49 54 63 82 84 98 108 123 126 147 164 189 196 246 252 277 287 294 369 378 441 492 554 574 588 738 756 831 861 882 1107 1108 1148 1323 1476 1662 1722 1764 1939 2009 2214 2493 2583 2646 3324 3444 3878 4018 4428 4986 5166 5292 5817 6027 7479 7749 7756 8036 9972 10332 11357 11634 12054 13573 14958 15498 17451 18081 22714 23268 24108 27146 29916 30996 34071 34902 36162 40719 45428 52353 54243 54292 68142 69804 72324 79499 81438 102213 104706 108486 122157 136284 158998 162876 204426 209412 216972 238497 244314 306639 317996 366471 408852 476994 488628 556493 613278 715491 732942 953988 1112986 1226556 1430982 1465884 1669479 2146473 2225972 2861964 3338958 4292946 5008437 6677916 8585892 10016874 15025311 20033748 30050622 60101244