Search a number
-
+
690001248 = 253167193223
BaseRepresentation
bin101001001000001…
…001010101100000
31210002100200202210
4221020021111200
52403120014443
6152245042120
723045625306
oct5110112540
91702320683
10690001248
11324540172
121730b6340
13acc4b281
14678d4276
1540899c33
hex29209560

690001248 has 96 divisors (see below), whose sum is σ = 1839753216. Its totient is φ = 226418688.

The previous prime is 690001243. The next prime is 690001267. The reversal of 690001248 is 842100096.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×6900012482 = 952203444483115008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690001241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3094065 + ... + 3094287.

It is an arithmetic number, because the mean of its divisors is an integer number (19164096).

Almost surely, 2690001248 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 690001248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919876608).

690001248 is an abundant number, since it is smaller than the sum of its proper divisors (1149751968).

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

690001248 is a wasteful number, since it uses less digits than its factorization.

690001248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 690001248 is about 26267.8748283907. The cubic root of 690001248 is about 883.6561249947.

The spelling of 690001248 in words is "six hundred ninety million, one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 193 223 334 386 446 501 579 668 669 772 892 1002 1158 1336 1338 1544 1784 2004 2316 2672 2676 3088 3568 4008 4632 5344 5352 6176 7136 8016 9264 10704 16032 18528 21408 32231 37241 43039 64462 74482 86078 96693 111723 128924 129117 148964 172156 193386 223446 257848 258234 297928 344312 386772 446892 515696 516468 595856 688624 773544 893784 1031392 1032936 1191712 1377248 1547088 1787568 2065872 3094176 3575136 4131744 7187513 14375026 21562539 28750052 43125078 57500104 86250156 115000208 172500312 230000416 345000624 690001248