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690429024 = 253217314549
BaseRepresentation
bin101001001001110…
…001110001100000
31210010011102120100
4221021301301200
52403222212044
6152302142400
723052356415
oct5111616140
91703142510
10690429024
113248025aa
12173281a00
13b006abac
14679a610c
1540931869
hex29271c60

690429024 has 144 divisors (see below), whose sum is σ = 2146435200. Its totient is φ = 209571840.

The previous prime is 690429001. The next prime is 690429029. The reversal of 690429024 is 420924096.

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 a self number, because there is not a number n which added to its sum of digits gives 690429024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690429029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149502 + ... + 154050.

It is an arithmetic number, because the mean of its divisors is an integer number (14905800).

Almost surely, 2690429024 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 690429024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073217600).

690429024 is an abundant number, since it is smaller than the sum of its proper divisors (1456006176).

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

690429024 is a wasteful number, since it uses less digits than its factorization.

690429024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4613 (or 4602 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 690429024 is about 26276.0161363933. The cubic root of 690429024 is about 883.8386989604.

The spelling of 690429024 in words is "six hundred ninety million, four hundred twenty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 32 34 36 48 51 62 68 72 93 96 102 124 136 144 153 186 204 248 272 279 288 306 372 408 496 527 544 558 612 744 816 992 1054 1116 1224 1488 1581 1632 2108 2232 2448 2976 3162 4216 4464 4549 4743 4896 6324 8432 8928 9098 9486 12648 13647 16864 18196 18972 25296 27294 36392 37944 40941 50592 54588 72784 75888 77333 81882 109176 141019 145568 151776 154666 163764 218352 231999 282038 309332 327528 423057 436704 463998 564076 618664 655056 695997 846114 927996 1128152 1237328 1269171 1310112 1391994 1692228 1855992 2256304 2397323 2474656 2538342 2783988 3384456 3711984 4512608 4794646 5076684 5567976 6768912 7191969 7423968 9589292 10153368 11135952 13537824 14383938 19178584 20306736 21575907 22271904 28767876 38357168 40613472 43151814 57535752 76714336 86303628 115071504 172607256 230143008 345214512 690429024