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61321040 = 24511174099
BaseRepresentation
bin1110100111101…
…0111101010000
311021101102122122
43221322331100
5111144233130
610030153412
71343135354
oct351727520
9137342578
1061321040
1131683450
1218652868
13c920351
148203464
1555b42e5
hex3a7af50

61321040 has 80 divisors (see below), whose sum is σ = 164721600. Its totient is φ = 20981760.

The previous prime is 61321021. The next prime is 61321049. The reversal of 61321040 is 4012316.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61321049) 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, 12911 + ... + 17009.

It is an arithmetic number, because the mean of its divisors is an integer number (2059020).

Almost surely, 261321040 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 61321040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82360800).

61321040 is an abundant number, since it is smaller than the sum of its proper divisors (103400560).

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

61321040 is a wasteful number, since it uses less digits than its factorization.

61321040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 61321040 is about 7830.7751851269. The cubic root of 61321040 is about 394.3390967020.

Adding to 61321040 its reverse (4012316), we get a palindrome (65333356).

The spelling of 61321040 in words is "sixty-one million, three hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 4099 7480 8198 14960 16396 20495 32792 40990 45089 65584 69683 81980 90178 139366 163960 180356 225445 278732 327920 348415 360712 450890 557464 696830 721424 766513 901780 1114928 1393660 1533026 1803560 2787320 3066052 3607120 3832565 5574640 6132104 7665130 12264208 15330260 30660520 61321040