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699030144 = 2732531072
BaseRepresentation
bin101001101010100…
…101101010000000
31210201100102002100
4221222211222000
52412422431034
6153210350400
723215441521
oct5152455200
91721312070
10699030144
1132964776a
1217612b400
13b1a8cb07
1468ba4848
1541580099
hex29aa5a80

699030144 has 144 divisors (see below), whose sum is σ = 2068818570. Its totient is φ = 226477056.

The previous prime is 699030139. The next prime is 699030149. The reversal of 699030144 is 441030996.

It is an interprime number because it is at equal distance from previous prime (699030139) and next prime (699030149).

It can be written as a sum of positive squares in only one way, i.e., 534164544 + 164865600 = 23112^2 + 12840^2 .

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 junction number, because it is equal to n+sod(n) for n = 699030099 and 699030108.

It is not an unprimeable number, because it can be changed into a prime (699030149) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6532939 + ... + 6533045.

Almost surely, 2699030144 is an apocalyptic number.

699030144 is a gapful number since it is divisible by the number (64) 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 699030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034409285).

699030144 is an abundant number, since it is smaller than the sum of its proper divisors (1369788426).

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

699030144 is a wasteful number, since it uses less digits than its factorization.

699030144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 699030144 is about 26439.1782020546. The cubic root of 699030144 is about 887.4937460116.

The spelling of 699030144 in words is "six hundred ninety-nine million, thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 107 128 144 159 192 212 214 288 318 321 384 424 428 477 576 636 642 848 856 954 963 1152 1272 1284 1696 1712 1908 1926 2544 2568 3392 3424 3816 3852 5088 5136 5671 6784 6848 7632 7704 10176 10272 11342 11449 13696 15264 15408 17013 20352 20544 22684 22898 30528 30816 34026 34347 41088 45368 45796 51039 61056 61632 68052 68694 90736 91592 102078 103041 123264 136104 137388 181472 183184 204156 206082 272208 274776 362944 366368 408312 412164 544416 549552 606797 725888 732736 816624 824328 1088832 1099104 1213594 1465472 1633248 1648656 1820391 2177664 2198208 2427188 3266496 3297312 3640782 4396416 4854376 5461173 6532992 6594624 7281564 9708752 10922346 13189248 14563128 19417504 21844692 29126256 38835008 43689384 58252512 77670016 87378768 116505024 174757536 233010048 349515072 699030144