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1141689924 = 223373179809
BaseRepresentation
bin100010000001100…
…1100111001000100
32221120021212011000
41010003030321010
54314233034144
6305142213300
740202130024
oct10403147104
92846255130
101141689924
115364aa5a1
1227a424230
131526b978b
14ab8b1a84
156a36d769
hex440cce44

1141689924 has 96 divisors (see below), whose sum is σ = 3020976000. Its totient is φ = 372791808.

The previous prime is 1141689919. The next prime is 1141689929. The reversal of 1141689924 is 4299861411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1141689919) and next prime (1141689929).

It is a self number, because there is not a number n which added to its sum of digits gives 1141689924.

It is not an unprimeable number, because it can be changed into a prime (1141689929) 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 31 ways as a sum of consecutive naturals, for example, 1410832 + ... + 1411640.

It is an arithmetic number, because the mean of its divisors is an integer number (31468500).

Almost surely, 21141689924 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 1141689924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510488000).

1141689924 is an abundant number, since it is smaller than the sum of its proper divisors (1879286076).

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

1141689924 is a wasteful number, since it uses less digits than its factorization.

1141689924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1066 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 1141689924 is about 33788.9023793316. The cubic root of 1141689924 is about 1045.1598616877.

The spelling of 1141689924 in words is "one billion, one hundred forty-one million, six hundred eighty-nine thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 179 219 292 358 438 537 657 716 809 876 1074 1314 1611 1618 1971 2148 2427 2628 3222 3236 3942 4833 4854 6444 7281 7884 9666 9708 13067 14562 19332 21843 26134 29124 39201 43686 52268 59057 78402 87372 117603 118114 144811 156804 177171 235206 236228 289622 352809 354342 434433 470412 531513 579244 705618 708684 868866 1063026 1303299 1411236 1594539 1737732 2126052 2606598 3189078 3909897 5213196 6378156 7819794 10571203 15639588 21142406 31713609 42284812 63427218 95140827 126854436 190281654 285422481 380563308 570844962 1141689924