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1114535920 = 245432811153
BaseRepresentation
bin100001001101110…
…0111011111110000
32212200012021212011
41002123213133300
54240310122140
6302332212304
736422253601
oct10233473760
92780167764
101114535920
11522143373
1227130a094
13149ba0014
14a8043da8
1567ca7cea
hex426e77f0

1114535920 has 80 divisors (see below), whose sum is σ = 2663302752. Its totient is φ = 433520640.

The previous prime is 1114535881. The next prime is 1114535921. The reversal of 1114535920 is 295354111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114535921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966064 + ... + 967216.

Almost surely, 21114535920 is an apocalyptic number.

1114535920 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 1114535920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331651376).

1114535920 is an abundant number, since it is smaller than the sum of its proper divisors (1548766832).

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

1114535920 is a wasteful number, since it uses less digits than its factorization.

1114535920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 1114535920 is about 33384.6659411173. The cubic root of 1114535920 is about 1036.8072448990.

The spelling of 1114535920 in words is "one billion, one hundred fourteen million, five hundred thirty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 281 344 430 562 688 860 1124 1153 1405 1720 2248 2306 2810 3440 4496 4612 5620 5765 9224 11240 11530 12083 18448 22480 23060 24166 46120 48332 49579 60415 92240 96664 99158 120830 193328 198316 241660 247895 323993 396632 483320 495790 647986 793264 966640 991580 1295972 1619965 1983160 2591944 3239930 3966320 5183888 6479860 12959720 13931699 25919440 27863398 55726796 69658495 111453592 139316990 222907184 278633980 557267960 1114535920