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66023424 = 21234199
BaseRepresentation
bin1111101111011…
…1000000000000
311121020100010000
43323313000000
5113400222144
610315040000
71431122055
oct373670000
9147210100
1066023424
11342a5415
121a140000
13108a881c
148aa902c
155be2769
hex3ef7000

66023424 has 130 divisors (see below), whose sum is σ = 198222200. Its totient is φ = 21897216.

The previous prime is 66023413. The next prime is 66023431. The reversal of 66023424 is 42432066.

66023424 is a `hidden beast` number, since 6 + 602 + 34 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331677 + ... + 331875.

Almost surely, 266023424 is an apocalyptic number.

66023424 is a gapful number since it is divisible by the number (64) 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 66023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99111100).

66023424 is an abundant number, since it is smaller than the sum of its proper divisors (132198776).

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

66023424 is an equidigital number, since it uses as much as digits as its factorization.

66023424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 66023424 is about 8125.4799242875. The cubic root of 66023424 is about 404.1718055014.

The spelling of 66023424 in words is "sixty-six million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 199 216 256 288 324 384 398 432 512 576 597 648 768 796 864 1024 1152 1194 1296 1536 1592 1728 1791 2048 2304 2388 2592 3072 3184 3456 3582 4096 4608 4776 5184 5373 6144 6368 6912 7164 9216 9552 10368 10746 12288 12736 13824 14328 16119 18432 19104 20736 21492 25472 27648 28656 32238 36864 38208 41472 42984 50944 55296 57312 64476 76416 82944 85968 101888 110592 114624 128952 152832 165888 171936 203776 229248 257904 305664 331776 343872 407552 458496 515808 611328 687744 815104 916992 1031616 1222656 1375488 1833984 2063232 2445312 2750976 3667968 4126464 5501952 7335936 8252928 11003904 16505856 22007808 33011712 66023424