Search a number
-
+
2061770368 = 27710122783
BaseRepresentation
bin111101011100100…
…0001111010000000
312022200120210020111
41322321001322000
513210303122433
6540330521104
7102043521220
oct17271017200
95280523214
102061770368
119688a7659
12496596194
1326b1c4088
14157b78080
15c1014dcd
hex7ae41e80

2061770368 has 64 divisors (see below), whose sum is σ = 4740894720. Its totient is φ = 874828800.

The previous prime is 2061770363. The next prime is 2061770383. The reversal of 2061770368 is 8630771602.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2061770368.

It is not an unprimeable number, because it can be changed into a prime (2061770363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79105 + ... + 101887.

It is an arithmetic number, because the mean of its divisors is an integer number (74076480).

Almost surely, 22061770368 is an apocalyptic number.

2061770368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2061770368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370447360).

2061770368 is an abundant number, since it is smaller than the sum of its proper divisors (2679124352).

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

2061770368 is a wasteful number, since it uses less digits than its factorization.

2061770368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22905 (or 22893 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 2061770368 is about 45406.7216169589. The cubic root of 2061770368 is about 1272.7607226533.

The spelling of 2061770368 in words is "two billion, sixty-one million, seven hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 101 112 128 202 224 404 448 707 808 896 1414 1616 2828 3232 5656 6464 11312 12928 22624 22783 45248 45566 90496 91132 159481 182264 318962 364528 637924 729056 1275848 1458112 2301083 2551696 2916224 4602166 5103392 9204332 10206784 16107581 18408664 20413568 32215162 36817328 64430324 73634656 128860648 147269312 257721296 294538624 515442592 1030885184 2061770368