Search a number
-
+
65725740 = 223251747457
BaseRepresentation
bin1111101010111…
…0010100101100
311120200012202200
43322232110230
5113311210430
610304421500
71425442143
oct372562454
9146605680
1065725740
11341117a3
121a017890
1310803192
148a2c75a
155b84460
hex3eae52c

65725740 has 144 divisors (see below), whose sum is σ = 216058752. Its totient is φ = 16109568.

The previous prime is 65725739. The next prime is 65725741. The reversal of 65725740 is 4752756.

It is an interprime number because it is at equal distance from previous prime (65725739) and next prime (65725741).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 65725695 and 65725704.

It is not an unprimeable number, because it can be changed into a prime (65725741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143592 + ... + 144048.

It is an arithmetic number, because the mean of its divisors is an integer number (1500408).

Almost surely, 265725740 is an apocalyptic number.

65725740 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65725740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108029376).

65725740 is an abundant number, since it is smaller than the sum of its proper divisors (150333012).

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

65725740 is a wasteful number, since it uses less digits than its factorization.

65725740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 65725740 is about 8107.1412964127. The cubic root of 65725740 is about 403.5634519231.

The spelling of 65725740 in words is "sixty-five million, seven hundred twenty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 47 51 60 68 85 90 94 102 141 153 170 180 188 204 235 255 282 306 340 423 457 470 510 564 612 705 765 799 846 914 940 1020 1371 1410 1530 1598 1692 1828 2115 2285 2397 2742 2820 3060 3196 3995 4113 4230 4570 4794 5484 6855 7191 7769 7990 8226 8460 9140 9588 11985 13710 14382 15538 15980 16452 20565 21479 23307 23970 27420 28764 31076 35955 38845 41130 42958 46614 47940 64437 69921 71910 77690 82260 85916 93228 107395 116535 128874 139842 143820 155380 193311 214790 233070 257748 279684 322185 349605 365143 386622 429580 466140 644370 699210 730286 773244 966555 1095429 1288740 1398420 1460572 1825715 1933110 2190858 3286287 3651430 3866220 4381716 5477145 6572574 7302860 10954290 13145148 16431435 21908580 32862870 65725740