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40677714 = 2357111087
BaseRepresentation
bin1001101100101…
…1000101010010
32211112122100000
42123023011102
540403141324
64011510430
71002516630
oct233130522
984478300
1040677714
1120a63850
1211758416
13857316c
14558c350
1538879c9
hex26cb152

40677714 has 96 divisors (see below), whose sum is σ = 114057216. Its totient is φ = 10555920.

The previous prime is 40677713. The next prime is 40677737. The reversal of 40677714 is 41777604.

It is not an unprimeable number, because it can be changed into a prime (40677713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36879 + ... + 37965.

It is an arithmetic number, because the mean of its divisors is an integer number (1188096).

Almost surely, 240677714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40677714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57028608).

40677714 is an abundant number, since it is smaller than the sum of its proper divisors (73379502).

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

40677714 is a wasteful number, since it uses less digits than its factorization.

40677714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 40677714 is about 6377.9082777977. The cubic root of 40677714 is about 343.9158404631.

It can be divided in two parts, 4067 and 7714, that added together give a triangular number (11781 = T153).

The spelling of 40677714 in words is "forty million, six hundred seventy-seven thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 243 297 378 462 486 567 594 693 891 1087 1134 1386 1701 1782 2079 2174 2673 3261 3402 4158 5346 6237 6522 7609 9783 11957 12474 15218 18711 19566 22827 23914 29349 35871 37422 45654 58698 68481 71742 83699 88047 107613 136962 167398 176094 205443 215226 251097 264141 322839 410886 502194 528282 616329 645678 753291 968517 1232658 1506582 1848987 1937034 2259873 2905551 3697974 4519746 5811102 6779619 13559238 20338857 40677714