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1098713952 = 253272918793
BaseRepresentation
bin100000101111101…
…0000101101100000
32211120102110012100
41001133100231200
54222232321302
6301005130400
736140625450
oct10137205540
92746373170
101098713952
11514217066
12267b59a00
131468204cb
14a5cc5d60
15666ced1c
hex417d0b60

1098713952 has 144 divisors (see below), whose sum is σ = 3694148640. Its totient is φ = 303077376.

The previous prime is 1098713921. The next prime is 1098713977. The reversal of 1098713952 is 2593178901.

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

It is a junction number, because it is equal to n+sod(n) for n = 1098713898 and 1098713907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49068 + ... + 67860.

It is an arithmetic number, because the mean of its divisors is an integer number (25653810).

Almost surely, 21098713952 is an apocalyptic number.

1098713952 is a gapful number since it is divisible by the number (12) 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 1098713952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847074320).

1098713952 is an abundant number, since it is smaller than the sum of its proper divisors (2595434688).

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

1098713952 is a wasteful number, since it uses less digits than its factorization.

1098713952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18845 (or 18834 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 1098713952 is about 33146.8543303886. The cubic root of 1098713952 is about 1031.8776671290.

The spelling of 1098713952 in words is "one billion, ninety-eight million, seven hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 406 464 504 522 609 672 696 812 928 1008 1044 1218 1392 1624 1827 2016 2088 2436 2784 3248 3654 4176 4872 6496 7308 8352 9744 14616 18793 19488 29232 37586 56379 58464 75172 112758 131551 150344 169137 225516 263102 300688 338274 394653 451032 526204 544997 601376 676548 789306 902064 1052408 1089994 1183959 1353096 1578612 1634991 1804128 2104816 2179988 2367918 2706192 3157224 3269982 3814979 4209632 4359976 4735836 4904973 5412384 6314448 6539964 7629958 8719952 9471672 9809946 11444937 12628896 13079928 15259916 17439904 18943344 19619892 22889874 26159856 30519832 34334811 37886688 39239784 45779748 52319712 61039664 68669622 78479568 91559496 122079328 137339244 156959136 183118992 274678488 366237984 549356976 1098713952