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66113520 = 24351179317
BaseRepresentation
bin1111110000110…
…0111111110000
311121101220200220
43330030333300
5113411113040
610321013040
71431645534
oct374147760
9147356626
1066113520
1134357080
121a184180
131090a835
148acdbc4
155c0e2d0
hex3f0cff0

66113520 has 160 divisors (see below), whose sum is σ = 227128320. Its totient is φ = 15774720.

The previous prime is 66113503. The next prime is 66113539. The reversal of 66113520 is 2531166.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208402 + ... + 208718.

It is an arithmetic number, because the mean of its divisors is an integer number (1419552).

Almost surely, 266113520 is an apocalyptic number.

66113520 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 66113520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113564160).

66113520 is an abundant number, since it is smaller than the sum of its proper divisors (161014800).

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

66113520 is a wasteful number, since it uses less digits than its factorization.

66113520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 66113520 is about 8131.0220759754. The cubic root of 66113520 is about 404.3555671101.

Adding to 66113520 its reverse (2531166), we get a palindrome (68644686).

The spelling of 66113520 in words is "sixty-six million, one hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 79 80 88 110 120 132 158 165 176 220 237 240 264 316 317 330 395 440 474 528 632 634 660 790 869 880 948 951 1185 1264 1268 1320 1580 1585 1738 1896 1902 2370 2536 2607 2640 3160 3170 3476 3487 3792 3804 4345 4740 4755 5072 5214 6320 6340 6952 6974 7608 8690 9480 9510 10428 10461 12680 13035 13904 13948 15216 17380 17435 18960 19020 20856 20922 25043 25360 26070 27896 34760 34870 38040 41712 41844 50086 52140 52305 55792 69520 69740 75129 76080 83688 100172 104280 104610 125215 139480 150258 167376 200344 208560 209220 250430 275473 278960 300516 375645 400688 418440 500860 550946 601032 751290 826419 836880 1001720 1101892 1202064 1377365 1502580 1652838 2003440 2203784 2754730 3005160 3305676 4132095 4407568 5509460 6010320 6611352 8264190 11018920 13222704 16528380 22037840 33056760 66113520