Search a number
-
+
1124152020 = 22355313739
BaseRepresentation
bin100001100000001…
…0011001011010100
32220100021211200000
41003000103023110
54300240331040
6303314251300
736600064065
oct10300231324
92810254600
101124152020
11527611062
12274586b30
1314bb88c14
14a942856c
1568a57130
hex430132d4

1124152020 has 144 divisors (see below), whose sum is σ = 3552319680. Its totient is φ = 298411776.

The previous prime is 1124152009. The next prime is 1124152061. The reversal of 1124152020 is 202514211.

1124152020 is a `hidden beast` number, since 1 + 124 + 1 + 520 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1124151984 and 1124152002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1520811 + ... + 1521549.

Almost surely, 21124152020 is an apocalyptic number.

1124152020 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 1124152020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776159840).

1124152020 is an abundant number, since it is smaller than the sum of its proper divisors (2428167660).

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

1124152020 is a wasteful number, since it uses less digits than its factorization.

1124152020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1124152020 is about 33528.3763400496. The cubic root of 1124152020 is about 1039.7805318454.

Adding to 1124152020 its reverse (202514211), we get a palindrome (1326666231).

The spelling of 1124152020 in words is "one billion, one hundred twenty-four million, one hundred fifty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 313 324 405 486 540 626 739 810 939 972 1215 1252 1478 1565 1620 1878 2217 2430 2817 2956 3130 3695 3756 4434 4695 4860 5634 6260 6651 7390 8451 8868 9390 11085 11268 13302 14085 14780 16902 18780 19953 22170 25353 26604 28170 33255 33804 39906 42255 44340 50706 56340 59859 66510 76059 79812 84510 99765 101412 119718 126765 133020 152118 169020 179577 199530 231307 239436 253530 299295 304236 359154 380295 399060 462614 507060 598590 693921 718308 760590 897885 925228 1156535 1197180 1387842 1521180 1795770 2081763 2313070 2775684 3469605 3591540 4163526 4626140 6245289 6939210 8327052 10408815 12490578 13878420 18735867 20817630 24981156 31226445 37471734 41635260 56207601 62452890 74943468 93679335 112415202 124905780 187358670 224830404 281038005 374717340 562076010 1124152020