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2102680512 = 26332934153
BaseRepresentation
bin111110101010100…
…0101101111000000
312102112120020102000
41331111011233000
513301241234022
6544351424000
7103051326612
oct17525055700
95375506360
102102680512
119899a9a99
124a8225000
13276818c6a
1415d386db2
15c48e66ac
hex7d545bc0

2102680512 has 112 divisors (see below), whose sum is σ = 6204082080. Its totient is φ = 698333184.

The previous prime is 2102680507. The next prime is 2102680537. The reversal of 2102680512 is 2150862012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504228 + ... + 508380.

It is an arithmetic number, because the mean of its divisors is an integer number (55393590).

Almost surely, 22102680512 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 2102680512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102041040).

2102680512 is an abundant number, since it is smaller than the sum of its proper divisors (4101401568).

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

2102680512 is a wasteful number, since it uses less digits than its factorization.

2102680512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4467 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2102680512 is about 45854.9944062803. The cubic root of 2102680512 is about 1281.1237917104.

The spelling of 2102680512 in words is "two billion, one hundred two million, six hundred eighty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 293 432 576 586 864 879 1172 1728 1758 2344 2637 3516 4153 4688 5274 7032 7911 8306 9376 10548 12459 14064 15822 16612 18752 21096 24918 28128 31644 33224 37377 42192 49836 56256 63288 66448 74754 84384 99672 112131 126576 132896 149508 168768 199344 224262 253152 265792 299016 398688 448524 506304 598032 797376 897048 1196064 1216829 1794096 2392128 2433658 3588192 3650487 4867316 7176384 7300974 9734632 10951461 14601948 19469264 21902922 29203896 32854383 38938528 43805844 58407792 65708766 77877056 87611688 116815584 131417532 175223376 233631168 262835064 350446752 525670128 700893504 1051340256 2102680512