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61150936 = 23711372683
BaseRepresentation
bin1110100101000…
…1011011011000
311021001210022111
43221101123120
5111123312221
610022402104
71341526420
oct351213330
9137053274
1061150936
1131577670
1218590334
13c890ab2
14819b480
15557dbe1
hex3a516d8

61150936 has 64 divisors (see below), whose sum is σ = 146868480. Its totient is φ = 23172480.

The previous prime is 61150933. The next prime is 61150961. The reversal of 61150936 is 63905116.

61150936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 61150898 and 61150907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61150933) 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 15 ways as a sum of consecutive naturals, for example, 21451 + ... + 24133.

It is an arithmetic number, because the mean of its divisors is an integer number (2294820).

Almost surely, 261150936 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 61150936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73434240).

61150936 is an abundant number, since it is smaller than the sum of its proper divisors (85717544).

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

61150936 is a wasteful number, since it uses less digits than its factorization.

61150936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 61150936 is about 7819.9063933016. The cubic root of 61150936 is about 393.9741280133.

The spelling of 61150936 in words is "sixty-one million, one hundred fifty thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 56 74 77 88 148 154 259 296 308 407 518 616 814 1036 1628 2072 2683 2849 3256 5366 5698 10732 11396 18781 21464 22792 29513 37562 59026 75124 99271 118052 150248 198542 206591 236104 397084 413182 694897 794168 826364 1091981 1389794 1652728 2183962 2779588 4367924 5559176 7643867 8735848 15287734 30575468 61150936