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2106947196 = 2232414389373
BaseRepresentation
bin111110110010101…
…0111011001111100
312102211121000012100
41331211113121330
513303334302241
6545023105100
7103132520124
oct17545273174
95384530170
102106947196
11991353682
124a9742190
13277681023
1415db77c84
15c4e8a9b6
hex7d95767c

2106947196 has 144 divisors (see below), whose sum is σ = 5660534880. Its totient is φ = 659957760.

The previous prime is 2106947149. The next prime is 2106947197. The reversal of 2106947196 is 6917496012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106947197) 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, 5648466 + ... + 5648838.

It is an arithmetic number, because the mean of its divisors is an integer number (39309270).

Almost surely, 22106947196 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 2106947196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830267440).

2106947196 is an abundant number, since it is smaller than the sum of its proper divisors (3553587684).

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

2106947196 is a wasteful number, since it uses less digits than its factorization.

2106947196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2106947196 is about 45901.4944854740. The cubic root of 2106947196 is about 1281.9897430958.

It can be divided in two parts, 21069 and 47196, that added together give a triangular number (68265 = T369).

The spelling of 2106947196 in words is "two billion, one hundred six million, nine hundred forty-seven thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 43 82 86 89 123 129 164 172 178 246 258 267 356 369 373 387 492 516 534 738 746 774 801 1068 1119 1476 1492 1548 1602 1763 2238 3204 3357 3526 3649 3827 4476 5289 6714 7052 7298 7654 10578 10947 11481 13428 14596 15293 15308 15867 16039 21156 21894 22962 30586 31734 32078 32841 33197 34443 43788 45879 45924 48117 61172 63468 64156 65682 66394 68886 91758 96234 99591 131364 132788 137637 137772 144351 156907 183516 192468 199182 275274 288702 298773 313814 398364 470721 550548 577404 597546 627628 657599 941442 1195092 1315198 1361077 1412163 1427471 1882884 1972797 2630396 2722154 2824326 2854942 3945594 4083231 4282413 5444308 5648652 5709884 5918391 7891188 8166462 8564826 11836782 12249693 12847239 16332924 17129652 23673564 24499386 25694478 48998772 51388956 58526311 117052622 175578933 234105244 351157866 526736799 702315732 1053473598 2106947196