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61373312 = 2771113479
BaseRepresentation
bin1110101000011…
…1101110000000
311021111002100122
43222013232000
5111202421222
610031235412
71343443640
oct352075600
9137432318
1061373312
1131709750
1218678b68
13c93b090
148218520
1555c4a42
hex3a87b80

61373312 has 128 divisors (see below), whose sum is σ = 164505600. Its totient is φ = 22026240.

The previous prime is 61373303. The next prime is 61373317. The reversal of 61373312 is 21337316.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61373317) 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, 127889 + ... + 128367.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200).

Almost surely, 261373312 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 61373312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800).

61373312 is an abundant number, since it is smaller than the sum of its proper divisors (103132288).

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

61373312 is a wasteful number, since it uses less digits than its factorization.

61373312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 512 counting only the distinct ones).

The product of its digits is 2268, while the sum is 26.

The square root of 61373312 is about 7834.1120747664. The cubic root of 61373312 is about 394.4511139313.

It can be divided in two parts, 6137 and 3312, that added together give a palindrome (9449).

The spelling of 61373312 in words is "sixty-one million, three hundred seventy-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 128 143 154 176 182 208 224 286 308 352 364 416 448 479 572 616 704 728 832 896 958 1001 1144 1232 1408 1456 1664 1916 2002 2288 2464 2912 3353 3832 4004 4576 4928 5269 5824 6227 6706 7664 8008 9152 9856 10538 11648 12454 13412 15328 16016 18304 21076 24908 26824 30656 32032 36883 42152 43589 49816 53648 61312 64064 68497 73766 84304 87178 99632 107296 128128 136994 147532 168608 174356 199264 214592 273988 295064 337216 348712 398528 429184 479479 547976 590128 674432 697424 797056 958958 1095952 1180256 1394848 1917916 2191904 2360512 2789696 3835832 4383808 4721024 5579392 7671664 8767616 15343328 30686656 61373312