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690407712 = 2535194673
BaseRepresentation
bin101001001001101…
…100100100100000
31210010010100100000
4221021230210200
52403221021322
6152301500000
723052240321
oct5111544440
91703110300
10690407712
11324798595
12173271600
13b0061297
146799c448
154092a3ac
hex2926c920

690407712 has 144 divisors (see below), whose sum is σ = 2143683360. Its totient is φ = 217976832.

The previous prime is 690407701. The next prime is 690407719. The reversal of 690407712 is 217704096.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (690407719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145408 + ... + 150080.

It is an arithmetic number, because the mean of its divisors is an integer number (14886690).

Almost surely, 2690407712 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 690407712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071841680).

690407712 is an abundant number, since it is smaller than the sum of its proper divisors (1453275648).

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

690407712 is a wasteful number, since it uses less digits than its factorization.

690407712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4717 (or 4697 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 690407712 is about 26275.6105923345. The cubic root of 690407712 is about 883.8296048254.

The spelling of 690407712 in words is "six hundred ninety million, four hundred seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 243 288 304 324 342 432 456 486 513 608 648 684 864 912 972 1026 1296 1368 1539 1824 1944 2052 2592 2736 3078 3888 4104 4617 4673 5472 6156 7776 8208 9234 9346 12312 14019 16416 18468 18692 24624 28038 36936 37384 42057 49248 56076 73872 74768 84114 88787 112152 126171 147744 149536 168228 177574 224304 252342 266361 336456 355148 378513 448608 504684 532722 672912 710296 757026 799083 1009368 1065444 1135539 1345824 1420592 1514052 1598166 2018736 2130888 2271078 2397249 2841184 3028104 3196332 4037472 4261776 4542156 4794498 6056208 6392664 7191747 8523552 9084312 9588996 12112416 12785328 14383494 18168624 19177992 21575241 25570656 28766988 36337248 38355984 43150482 57533976 76711968 86300964 115067952 172601928 230135904 345203856 690407712