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42680700 = 223252471009
BaseRepresentation
bin1010001011010…
…0000101111100
32222022101220200
42202310011330
541411240300
64122443500
71025531346
oct242640574
988271820
1042680700
1122101707
1212363590
138ac4a6a
145950296
153b31200
hex28b417c

42680700 has 108 divisors (see below), whose sum is σ = 136762080. Its totient is φ = 11128320.

The previous prime is 42680689. The next prime is 42680711. The reversal of 42680700 is 708624.

It is an interprime number because it is at equal distance from previous prime (42680689) and next prime (42680711).

It is a super-3 number, since 3×426807003 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41796 + ... + 42804.

Almost surely, 242680700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42680700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68381040).

42680700 is an abundant number, since it is smaller than the sum of its proper divisors (94081380).

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

42680700 is a wasteful number, since it uses less digits than its factorization.

42680700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 42680700 is about 6533.0467624226. The cubic root of 42680700 is about 349.4704918384.

The spelling of 42680700 in words is "forty-two million, six hundred eighty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 47 50 60 75 90 94 100 141 150 180 188 225 235 282 300 423 450 470 564 705 846 900 940 1009 1175 1410 1692 2018 2115 2350 2820 3027 3525 4036 4230 4700 5045 6054 7050 8460 9081 10090 10575 12108 14100 15135 18162 20180 21150 25225 30270 36324 42300 45405 47423 50450 60540 75675 90810 94846 100900 142269 151350 181620 189692 227025 237115 284538 302700 426807 454050 474230 569076 711345 853614 908100 948460 1185575 1422690 1707228 2134035 2371150 2845380 3556725 4268070 4742300 7113450 8536140 10670175 14226900 21340350 42680700