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661054040 = 235232832539
BaseRepresentation
bin100111011001101…
…110001001011000
31201001220000122222
4213121232021120
52323212212130
6145332403212
722244603153
oct4731561130
91631800588
10661054040
1130a169759
12165476508
13a6c5454a
1463b1ac9a
153d07cce5
hex2766e258

661054040 has 64 divisors (see below), whose sum is σ = 1558137600. Its totient is φ = 251932032.

The previous prime is 661054039. The next prime is 661054049. The reversal of 661054040 is 40450166.

661054040 = T3333 + T3334 + ... + T3447.

It is a happy number.

661054040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661054049) 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, 259091 + ... + 261629.

It is an arithmetic number, because the mean of its divisors is an integer number (24345900).

Almost surely, 2661054040 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 661054040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779068800).

661054040 is an abundant number, since it is smaller than the sum of its proper divisors (897083560).

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

661054040 is a wasteful number, since it uses less digits than its factorization.

661054040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 661054040 is about 25710.9711990815. The cubic root of 661054040 is about 871.1220120798.

The spelling of 661054040 in words is "six hundred sixty-one million, fifty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 283 460 566 920 1132 1415 2264 2539 2830 5078 5660 6509 10156 11320 12695 13018 20312 25390 26036 32545 50780 52072 58397 65090 101560 116794 130180 233588 260360 291985 467176 583970 718537 1167940 1437074 2335880 2874148 3592685 5748296 7185370 14370740 16526351 28741480 33052702 66105404 82631755 132210808 165263510 330527020 661054040