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2890700406 = 233113371087
BaseRepresentation
bin1010110001001100…
…1001011001110110
321110110100210111000
42230103021121312
521410004403111
61154501424130
7131430355656
oct25423113166
97413323430
102890700406
1112537a8000
1268810b046
13370b65c19
141d5cb4366
1511dba3c56
hexac4c9676

2890700406 has 128 divisors (see below), whose sum is σ = 7263313920. Its totient is φ = 851510880.

The previous prime is 2890700399. The next prime is 2890700429. The reversal of 2890700406 is 6040070982.

2890700406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×28907004062 = 16712297674497129672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2658795 + ... + 2659881.

It is an arithmetic number, because the mean of its divisors is an integer number (56744640).

Almost surely, 22890700406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2890700406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3631656960).

2890700406 is an abundant number, since it is smaller than the sum of its proper divisors (4372613514).

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

2890700406 is a wasteful number, since it uses less digits than its factorization.

2890700406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2890700406 is about 53765.2341759989. The cubic root of 2890700406 is about 1424.5171904526.

The spelling of 2890700406 in words is "two billion, eight hundred ninety million, seven hundred thousand, four hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 99 111 121 198 222 242 297 333 363 407 594 666 726 814 999 1087 1089 1221 1331 1998 2174 2178 2442 2662 3261 3267 3663 3993 4477 6522 6534 7326 7986 8954 9783 10989 11957 11979 13431 19566 21978 23914 23958 26862 29349 35871 35937 40219 40293 49247 58698 71742 71874 80438 80586 98494 107613 120657 120879 131527 147741 215226 241314 241758 263054 295482 322839 361971 394581 442409 443223 645678 723942 789162 884818 886446 1085913 1183743 1327227 1329669 1446797 2171826 2367486 2654454 2659338 2893594 3551229 3981681 4340391 4866499 7102458 7963362 8680782 9732998 11945043 13021173 14599497 23890086 26042346 29198994 39063519 43798491 53531489 78127038 87596982 107062978 131395473 160594467 262790946 321188934 481783401 963566802 1445350203 2890700406