Search a number
-
+
1117589424 = 243719175061
BaseRepresentation
bin100001010011101…
…0000111110110000
32212212221102110220
41002213100332300
54242100330144
6302521453040
736460232130
oct10247207660
92785842426
101117589424
11523939526
12272341180
1314a6cbb23
14a85daac0
15681ac919
hex429d0fb0

1117589424 has 80 divisors (see below), whose sum is σ = 3473230080. Its totient is φ = 302503680.

The previous prime is 1117589423. The next prime is 1117589437. The reversal of 1117589424 is 4249857111.

It is a super-2 number, since 2×11175894242 = 2498012241273303552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 (1117589423) 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, 81147 + ... + 93914.

It is an arithmetic number, because the mean of its divisors is an integer number (43415376).

Almost surely, 21117589424 is an apocalyptic number.

1117589424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1117589424 is an abundant number, since it is smaller than the sum of its proper divisors (2355640656).

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

1117589424 is a wasteful number, since it uses less digits than its factorization.

1117589424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175098 (or 175092 counting only the distinct ones).

The product of its digits is 80640, while the sum is 42.

The square root of 1117589424 is about 33430.3667942785. The cubic root of 1117589424 is about 1037.7532315335.

The spelling of 1117589424 in words is "one billion, one hundred seventeen million, five hundred eighty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 175061 350122 525183 700244 1050366 1225427 1400488 2100732 2450854 2800976 3326159 3676281 4201464 4901708 6652318 7352562 8402928 9803416 9978477 13304636 14705124 19606832 19956954 23283113 26609272 29410248 39913908 46566226 53218544 58820496 69849339 79827816 93132452 139698678 159655632 186264904 279397356 372529808 558794712 1117589424