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3740242086 = 2327711572663
BaseRepresentation
bin1101111011101111…
…1001000010100110
3100122122220222120200
43132323321002212
530130000221321
61415050211330
7161454350610
oct33673710246
910578828520
103740242086
11164a2a6269
12884723b46
13477b736c9
14276a57db0
1516d564d26
hexdeef90a6

3740242086 has 96 divisors (see below), whose sum is σ = 9455367168. Its totient is φ = 1046485440.

The previous prime is 3740242081. The next prime is 3740242117. The reversal of 3740242086 is 6802420473.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3740242086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3740242081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1403191 + ... + 1405853.

It is an arithmetic number, because the mean of its divisors is an integer number (98493408).

Almost surely, 23740242086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3740242086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727683584).

3740242086 is an abundant number, since it is smaller than the sum of its proper divisors (5715125082).

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

3740242086 is a wasteful number, since it uses less digits than its factorization.

3740242086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3740242086 is about 61157.5186383490. The cubic root of 3740242086 is about 1552.2675221142.

The spelling of 3740242086 in words is "three billion, seven hundred forty million, two hundred forty-two thousand, eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 126 142 157 213 314 426 471 497 639 942 994 1099 1278 1413 1491 2198 2663 2826 2982 3297 4473 5326 6594 7989 8946 9891 11147 15978 18641 19782 22294 23967 33441 37282 47934 55923 66882 78029 100323 111846 156058 167769 189073 200646 234087 335538 378146 418091 468174 567219 702261 836182 1134438 1254273 1323511 1404522 1701657 2508546 2647022 2926637 3403314 3762819 3970533 5853274 7525638 7941066 8779911 11911599 17559822 23823198 26339733 29684461 52679466 59368922 89053383 178106766 207791227 267160149 415582454 534320298 623373681 1246747362 1870121043 3740242086