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61140744 = 233574493
BaseRepresentation
bin1110100100111…
…0111100001000
311021001021100000
43221032330020
5111123000434
610022243000
71341454620
oct351167410
9137037300
1061140744
113156aa45
1218586460
13c889272
148197880
15557ab99
hex3a4ef08

61140744 has 96 divisors (see below), whose sum is σ = 196297920. Its totient is φ = 17464896.

The previous prime is 61140743. The next prime is 61140767. The reversal of 61140744 is 44704116.

61140744 is a `hidden beast` number, since 611 + 4 + 0 + 7 + 44 = 666.

61140744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61140743) 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 23 ways as a sum of consecutive naturals, for example, 11362 + ... + 15854.

It is an arithmetic number, because the mean of its divisors is an integer number (2044770).

Almost surely, 261140744 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 61140744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98148960).

61140744 is an abundant number, since it is smaller than the sum of its proper divisors (135157176).

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

61140744 is a wasteful number, since it uses less digits than its factorization.

61140744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521 (or 4505 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 61140744 is about 7819.2546959413. The cubic root of 61140744 is about 393.9522389648.

The spelling of 61140744 in words is "sixty-one million, one hundred forty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3402 4493 4536 6804 8986 13479 13608 17972 26958 31451 35944 40437 53916 62902 80874 94353 107832 121311 125804 161748 188706 242622 251608 283059 323496 363933 377412 485244 566118 727866 754824 849177 970488 1091799 1132236 1455732 1698354 2183598 2264472 2547531 2911464 3396708 4367196 5095062 6793416 7642593 8734392 10190124 15285186 20380248 30570372 61140744