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66678840 = 23325238053
BaseRepresentation
bin1111111001011…
…1000000111000
311122110122011200
43332113000320
5114032210330
610341054200
71436521644
oct376270070
9148418150
1066678840
1134702888
121a3b7360
1310a77c47
148bd9c24
155cc1a60
hex3f97038

66678840 has 96 divisors (see below), whose sum is σ = 226156320. Its totient is φ = 17005824.

The previous prime is 66678827. The next prime is 66678877. The reversal of 66678840 is 4887666.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4254 + ... + 12306.

It is an arithmetic number, because the mean of its divisors is an integer number (2355795).

Almost surely, 266678840 is an apocalyptic number.

66678840 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 66678840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113078160).

66678840 is an abundant number, since it is smaller than the sum of its proper divisors (159477480).

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

66678840 is a wasteful number, since it uses less digits than its factorization.

66678840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8093 (or 8086 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 66678840 is about 8165.7112366284. The cubic root of 66678840 is about 405.5048117603.

The spelling of 66678840 in words is "sixty-six million, six hundred seventy-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8053 8280 16106 24159 32212 40265 48318 64424 72477 80530 96636 120795 144954 161060 185219 193272 241590 289908 322120 362385 370438 483180 555657 579816 724770 740876 926095 966360 1111314 1449540 1481752 1666971 1852190 2222628 2778285 2899080 3333942 3704380 4445256 5556570 6667884 7408760 8334855 11113140 13335768 16669710 22226280 33339420 66678840