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1114134960 = 243567193359
BaseRepresentation
bin100001001101000…
…0101100110110000
32212122102220211210
41002122011212300
54240204304320
6302315440120
736415663611
oct10232054660
92778386753
101114134960
1152199a0a4
12271156040
13149a8c673
14a7d7bc08
1567c290e0
hex426859b0

1114134960 has 160 divisors (see below), whose sum is σ = 3533345280. Its totient is φ = 290340864.

The previous prime is 1114134941. The next prime is 1114134971. The reversal of 1114134960 is 694314111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3103261 + ... + 3103619.

It is an arithmetic number, because the mean of its divisors is an integer number (22083408).

Almost surely, 21114134960 is an apocalyptic number.

1114134960 is a gapful number since it is divisible by the number (10) 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 1114134960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766672640).

1114134960 is an abundant number, since it is smaller than the sum of its proper divisors (2419210320).

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

1114134960 is a wasteful number, since it uses less digits than its factorization.

1114134960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1114134960 is about 33378.6602487278. The cubic root of 1114134960 is about 1036.6828977492.

The spelling of 1114134960 in words is "one billion, one hundred fourteen million, one hundred thirty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 193 201 240 268 335 359 386 402 536 579 670 718 772 804 965 1005 1072 1077 1158 1340 1436 1544 1608 1795 1930 2010 2154 2316 2680 2872 2895 3088 3216 3590 3860 4020 4308 4632 5360 5385 5744 5790 7180 7720 8040 8616 9264 10770 11580 12931 14360 15440 16080 17232 21540 23160 24053 25862 28720 38793 43080 46320 48106 51724 64655 69287 72159 77586 86160 96212 103448 120265 129310 138574 144318 155172 192424 193965 206896 207861 240530 258620 277148 288636 310344 346435 360795 384848 387930 415722 481060 517240 554296 577272 620688 692870 721590 775860 831444 962120 1034480 1039305 1108592 1154544 1385740 1443180 1551720 1662888 1924240 2078610 2771480 2886360 3103440 3325776 4157220 4642229 5542960 5772720 8314440 9284458 13926687 16628880 18568916 23211145 27853374 37137832 46422290 55706748 69633435 74275664 92844580 111413496 139266870 185689160 222826992 278533740 371378320 557067480 1114134960