Search a number
-
+
1152502020 = 223451036907
BaseRepresentation
bin100010010110001…
…1100100100000100
32222022122011120000
41010230130210010
54330020031040
6310210041300
740363051125
oct10454344404
92868564500
101152502020
1154161490a
12281b79230
13154a03b77
14ad0c804c
156b2a7130
hex44b1c904

1152502020 has 120 divisors (see below), whose sum is σ = 3651071424. Its totient is φ = 304305984.

The previous prime is 1152502003. The next prime is 1152502049. The reversal of 1152502020 is 202052511.

It is a super-2 number, since 2×11525020202 = 2656521812208160800, which contains 22 as substring.

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 = 1152501984 and 1152502002.

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 39 ways as a sum of consecutive naturals, for example, 163407 + ... + 170313.

Almost surely, 21152502020 is an apocalyptic number.

1152502020 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 1152502020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825535712).

1152502020 is an abundant number, since it is smaller than the sum of its proper divisors (2498569404).

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

1152502020 is a wasteful number, since it uses less digits than its factorization.

1152502020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7031 (or 7020 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1152502020 is about 33948.5201444776. The cubic root of 1152502020 is about 1048.4488115640.

Adding to 1152502020 its reverse (202052511), we get a palindrome (1354554531).

The spelling of 1152502020 in words is "one billion, one hundred fifty-two million, five hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 103 108 135 162 180 206 270 309 324 405 412 515 540 618 810 927 1030 1236 1545 1620 1854 2060 2781 3090 3708 4635 5562 6180 6907 8343 9270 11124 13814 13905 16686 18540 20721 27628 27810 33372 34535 41442 41715 55620 62163 69070 82884 83430 103605 124326 138140 166860 186489 207210 248652 310815 372978 414420 559467 621630 711421 745956 932445 1118934 1243260 1422842 1864890 2134263 2237868 2797335 2845684 3557105 3729780 4268526 5594670 6402789 7114210 8537052 10671315 11189340 12805578 14228420 19208367 21342630 25611156 32013945 38416734 42685260 57625101 64027890 76833468 96041835 115250202 128055780 192083670 230500404 288125505 384167340 576251010 1152502020