Search a number
-
+
1011429888 = 2937194951
BaseRepresentation
bin111100010010010…
…011001000000000
32121111011221222020
4330102103020000
54032411224023
6244210241440
734031004120
oct7422231000
92544157866
101011429888
11479a20277
12242886280
1313170c831
1498484c80
155dbdcde3
hex3c493200

1011429888 has 160 divisors (see below), whose sum is σ = 3242173440. Its totient is φ = 273715200.

The previous prime is 1011429871. The next prime is 1011429889. The reversal of 1011429888 is 8889241101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1011429889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201813 + ... + 206763.

It is an arithmetic number, because the mean of its divisors is an integer number (20263584).

Almost surely, 21011429888 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 1011429888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621086720).

1011429888 is an abundant number, since it is smaller than the sum of its proper divisors (2230743552).

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

1011429888 is an equidigital number, since it uses as much as digits as its factorization.

1011429888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4998 (or 4982 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 42.

The square root of 1011429888 is about 31802.9855202306. The cubic root of 1011429888 is about 1003.7955383291.

The spelling of 1011429888 in words is "one billion, eleven million, four hundred twenty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 512 532 608 672 768 798 896 912 1064 1216 1344 1536 1596 1792 1824 2128 2432 2688 3192 3584 3648 4256 4864 4951 5376 6384 7296 8512 9728 9902 10752 12768 14592 14853 17024 19804 25536 29184 29706 34048 34657 39608 51072 59412 68096 69314 79216 94069 102144 103971 118824 138628 158432 188138 204288 207942 237648 277256 282207 316864 376276 415884 475296 554512 564414 633728 658483 752552 831768 950592 1109024 1128828 1267456 1316966 1505104 1663536 1901184 1975449 2218048 2257656 2534912 2633932 3010208 3327072 3802368 3950898 4436096 4515312 5267864 6020416 6654144 7604736 7901796 8872192 9030624 10535728 12040832 13308288 15803592 17744384 18061248 21071456 24081664 26616576 31607184 36122496 42142912 48163328 53233152 63214368 72244992 84285824 126428736 144489984 168571648 252857472 337143296 505714944 1011429888