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3680677530 = 2335194331657
BaseRepresentation
bin1101101101100010…
…1010111010011010
3100111111211210101000
43123120222322122
530014223140110
61405121405430
7160132146165
oct33330527232
910444753330
103680677530
111619712562
12868799876
134687199ca
1426cb90adc
151681eb1c0
hexdb62ae9a

3680677530 has 128 divisors (see below), whose sum is σ = 10361836800. Its totient is φ = 927148032.

The previous prime is 3680677501. The next prime is 3680677537. The reversal of 3680677530 is 357760863.

3680677530 is a `hidden beast` number, since 36 + 80 + 6 + 7 + 7 + 530 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3680677537) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2220462 + ... + 2222118.

It is an arithmetic number, because the mean of its divisors is an integer number (80951850).

Almost surely, 23680677530 is an apocalyptic number.

3680677530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3680677530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5180918400).

3680677530 is an abundant number, since it is smaller than the sum of its proper divisors (6681159270).

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

3680677530 is a wasteful number, since it uses less digits than its factorization.

3680677530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3680677530 is about 60668.5876710510. The cubic root of 3680677530 is about 1543.9832692241.

The spelling of 3680677530 in words is "three billion, six hundred eighty million, six hundred seventy-seven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 433 513 570 855 866 1026 1299 1657 1710 2165 2565 2598 3314 3897 4330 4971 5130 6495 7794 8227 8285 9942 11691 12990 14913 16454 16570 19485 23382 24681 24855 29826 31483 38970 41135 44739 49362 49710 58455 62966 74043 74565 82270 89478 94449 116910 123405 148086 149130 157415 188898 222129 223695 246810 283347 314830 370215 444258 447390 472245 566694 717481 740430 850041 944490 1110645 1416735 1434962 1700082 2152443 2221290 2833470 3587405 4250205 4304886 6457329 7174810 8500410 10762215 12914658 13632139 19371987 21524430 27264278 32286645 38743974 40896417 64573290 68160695 81792834 96859935 122689251 136321390 193719870 204482085 245378502 368067753 408964170 613446255 736135506 1226892510 1840338765 3680677530