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65720928 = 2537137523
BaseRepresentation
bin1111101010110…
…1001001100000
311120122222011110
43322231021200
5113311032203
610304343320
71425422130
oct372551140
9146588143
1065720928
1134109119
121a014b40
1310800c30
148a2aac0
155b82d03
hex3ead260

65720928 has 96 divisors (see below), whose sum is σ = 212357376. Its totient is φ = 17330688.

The previous prime is 65720927. The next prime is 65720933. The reversal of 65720928 is 82902756.

It is a happy number.

65720928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65720927) 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, 4975 + ... + 12497.

It is an arithmetic number, because the mean of its divisors is an integer number (2212056).

Almost surely, 265720928 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 65720928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106178688).

65720928 is an abundant number, since it is smaller than the sum of its proper divisors (146636448).

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

65720928 is a wasteful number, since it uses less digits than its factorization.

65720928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7556 (or 7548 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 65720928 is about 8106.8445155930. The cubic root of 65720928 is about 403.5536029419.

The spelling of 65720928 in words is "sixty-five million, seven hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 7523 8736 15046 22569 30092 45138 52661 60184 90276 97799 105322 120368 157983 180552 195598 210644 240736 293397 315966 361104 391196 421288 586794 631932 684593 722208 782392 842576 1173588 1263864 1369186 1564784 1685152 2053779 2347176 2527728 2738372 3129568 4107558 4694352 5055456 5476744 8215116 9388704 10953488 16430232 21906976 32860464 65720928