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1114259940 = 2232519325807
BaseRepresentation
bin100001001101010…
…0100000111100100
32212122200021021200
41002122210013210
54240222304230
6302322242500
736420024153
oct10232440744
92778607250
101114259940
11521a74a92
122711b6430
13149b04511
14a7db159a
1567c51160
hex426a41e4

1114259940 has 72 divisors (see below), whose sum is σ = 3557823360. Its totient is φ = 281496384.

The previous prime is 1114259933. The next prime is 1114259941. The reversal of 1114259940 is 499524111.

It is a happy number.

1114259940 is a `hidden beast` number, since 11 + 14 + 2 + 599 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1114259895 and 1114259904.

It is not an unprimeable number, because it can be changed into a prime (1114259941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159484 + ... + 166323.

Almost surely, 21114259940 is an apocalyptic number.

1114259940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1114259940 is an abundant number, since it is smaller than the sum of its proper divisors (2443563420).

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

1114259940 is a wasteful number, since it uses less digits than its factorization.

1114259940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325841 (or 325836 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1114259940 is about 33380.5323504584. The cubic root of 1114259940 is about 1036.7216601938.

The spelling of 1114259940 in words is "one billion, one hundred fourteen million, two hundred fifty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 325807 651614 977421 1303228 1629035 1954842 2932263 3258070 3909684 4887105 5864526 6190333 6516140 9774210 11729052 12380666 14661315 18570999 19548420 24761332 29322630 30951665 37141998 55712997 58645260 61903330 74283996 92854995 111425994 123806660 185709990 222851988 278564985 371419980 557129970 1114259940