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1155535540 = 2251931233421
BaseRepresentation
bin100010011100000…
…0001001010110100
32222112100021202121
41010320001022310
54331304114130
6310355045324
740430614165
oct10470011264
92875307677
101155535540
115432a6a55
12282ba0844
13155526853
14ad67776c
156b6a5d7a
hex44e012b4

1155535540 has 96 divisors (see below), whose sum is σ = 2654346240. Its totient is φ = 420940800.

The previous prime is 1155535531. The next prime is 1155535541. The reversal of 1155535540 is 455355511.

It is a junction number, because it is equal to n+sod(n) for n = 1155535496 and 1155535505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155535541) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2744530 + ... + 2744950.

It is an arithmetic number, because the mean of its divisors is an integer number (27649440).

Almost surely, 21155535540 is an apocalyptic number.

1155535540 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 1155535540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327173120).

1155535540 is an abundant number, since it is smaller than the sum of its proper divisors (1498810700).

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

1155535540 is a wasteful number, since it uses less digits than its factorization.

1155535540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 34.

The square root of 1155535540 is about 33993.1690196722. The cubic root of 1155535540 is about 1049.3678855968.

The spelling of 1155535540 in words is "one billion, one hundred fifty-five million, five hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 233 310 380 421 466 589 620 842 932 1165 1178 1684 2105 2330 2356 2945 4210 4427 4660 5890 7223 7999 8420 8854 11780 13051 14446 15998 17708 22135 26102 28892 31996 36115 39995 44270 52204 65255 72230 79990 88540 98093 130510 137237 144460 159980 196186 247969 261020 274474 392372 490465 495938 548948 686185 980930 991876 1239845 1372370 1863767 1961860 2479690 2744740 3040883 3727534 4959380 6081766 7455068 9318835 12163532 15204415 18637670 30408830 37275340 57776777 60817660 115553554 231107108 288883885 577767770 1155535540