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1129946048 = 267111671373
BaseRepresentation
bin100001101011001…
…1001101111000000
32220202012012120122
41003112121233000
54303231233143
6304042355412
740000245230
oct10326315700
92822165518
101129946048
1152a909210
122764bbb68
1315013723a
14aa0d5cc0
15692edc68
hex43599bc0

1129946048 has 112 divisors (see below), whose sum is σ = 2814303744. Its totient is φ = 437283840.

The previous prime is 1129946023. The next prime is 1129946057. The reversal of 1129946048 is 8406499211.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 822290 + ... + 823662.

It is an arithmetic number, because the mean of its divisors is an integer number (25127712).

Almost surely, 21129946048 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 1129946048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407151872).

1129946048 is an abundant number, since it is smaller than the sum of its proper divisors (1684357696).

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

1129946048 is a wasteful number, since it uses less digits than its factorization.

1129946048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The square root of 1129946048 is about 33614.6701307628. The cubic root of 1129946048 is about 1041.5638602440.

It can be divided in two parts, 112 and 9946048, that multiplied together give a square (1113957376 = 333762).

The spelling of 1129946048 in words is "one billion, one hundred twenty-nine million, nine hundred forty-six thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 167 176 224 308 334 352 448 616 668 704 1169 1232 1336 1373 1837 2338 2464 2672 2746 3674 4676 4928 5344 5492 7348 9352 9611 10688 10984 12859 14696 15103 18704 19222 21968 25718 29392 30206 37408 38444 43936 51436 58784 60412 74816 76888 87872 102872 105721 117568 120824 153776 205744 211442 229291 241648 307552 411488 422884 458582 483296 615104 822976 845768 917164 966592 1605037 1691536 1834328 2522201 3210074 3383072 3668656 5044402 6420148 6766144 7337312 10088804 12840296 14674624 17655407 20177608 25680592 35310814 40355216 51361184 70621628 80710432 102722368 141243256 161420864 282486512 564973024 1129946048