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40682280 = 2335347977
BaseRepresentation
bin1001101100110…
…0001100101000
32211112212121010
42123030030220
540403313110
64011543520
71002536142
oct233141450
984485533
1040682280
1120a67221
121175aba0
138575272
14558dc92
153889020
hex26cc328

40682280 has 64 divisors (see below), whose sum is σ = 122523840. Its totient is φ = 10806272.

The previous prime is 40682267. The next prime is 40682293. The reversal of 40682280 is 8228604.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40682267) and next prime (40682293).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41152 + ... + 42128.

It is an arithmetic number, because the mean of its divisors is an integer number (1914435).

Almost surely, 240682280 is an apocalyptic number.

40682280 is a gapful number since it is divisible by the number (40) 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 40682280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61261920).

40682280 is an abundant number, since it is smaller than the sum of its proper divisors (81841560).

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

40682280 is a wasteful number, since it uses less digits than its factorization.

40682280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 40682280 is about 6378.2662221014. The cubic root of 40682280 is about 343.9287079592.

The spelling of 40682280 in words is "forty million, six hundred eighty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 347 694 977 1041 1388 1735 1954 2082 2776 2931 3470 3908 4164 4885 5205 5862 6940 7816 8328 9770 10410 11724 13880 14655 19540 20820 23448 29310 39080 41640 58620 117240 339019 678038 1017057 1356076 1695095 2034114 2712152 3390190 4068228 5085285 6780380 8136456 10170570 13560760 20341140 40682280