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66023640 = 23335113541
BaseRepresentation
bin1111101111011…
…1000011011000
311121020100102000
43323313003120
5113400224030
610315041000
71431122514
oct373670330
9147210360
1066023640
11342a55a1
121a140160
13108a8957
148aa9144
155be2860
hex3ef70d8

66023640 has 128 divisors (see below), whose sum is σ = 222436800. Its totient is φ = 17418240.

The previous prime is 66023621. The next prime is 66023647. The reversal of 66023640 is 4632066.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66023647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121770 + ... + 122310.

Almost surely, 266023640 is an apocalyptic number.

66023640 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 66023640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111218400).

66023640 is an abundant number, since it is smaller than the sum of its proper divisors (156413160).

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

66023640 is a wasteful number, since it uses less digits than its factorization.

66023640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 66023640 is about 8125.4932157993. The cubic root of 66023640 is about 404.1722462592.

The spelling of 66023640 in words is "sixty-six million, twenty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 113 120 135 180 216 226 270 339 360 452 540 541 565 678 904 1017 1080 1082 1130 1356 1623 1695 2034 2164 2260 2705 2712 3051 3246 3390 4068 4328 4520 4869 5085 5410 6102 6492 6780 8115 8136 9738 10170 10820 12204 12984 13560 14607 15255 16230 19476 20340 21640 24345 24408 29214 30510 32460 38952 40680 48690 58428 61020 61133 64920 73035 97380 116856 122040 122266 146070 183399 194760 244532 292140 305665 366798 489064 550197 584280 611330 733596 916995 1100394 1222660 1467192 1650591 1833990 2200788 2445320 2750985 3301182 3667980 4401576 5501970 6602364 7335960 8252955 11003940 13204728 16505910 22007880 33011820 66023640