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1087115130 = 2325313710531
BaseRepresentation
bin100000011001100…
…0000111101111010
32210202121011121100
41000303000331322
54211300141010
6255512352230
735640216603
oct10063007572
92722534540
101087115130
11508714762
122640a5676
131442bbcba
14a4546daa
156568d2c0
hex40cc0f7a

1087115130 has 96 divisors (see below), whose sum is σ = 2996817408. Its totient is φ = 272937600.

The previous prime is 1087115111. The next prime is 1087115131. The reversal of 1087115130 is 315117801.

It is a junction number, because it is equal to n+sod(n) for n = 1087115094 and 1087115103.

It is not an unprimeable number, because it can be changed into a prime (1087115131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97965 + ... + 108495.

It is an arithmetic number, because the mean of its divisors is an integer number (31216848).

Almost surely, 21087115130 is an apocalyptic number.

1087115130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1087115130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498408704).

1087115130 is an abundant number, since it is smaller than the sum of its proper divisors (1909702278).

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

1087115130 is a wasteful number, since it uses less digits than its factorization.

1087115130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10612 (or 10609 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The square root of 1087115130 is about 32971.4289954197. The cubic root of 1087115130 is about 1028.2337309888.

The spelling of 1087115130 in words is "one billion, eighty-seven million, one hundred fifteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 37 45 62 74 90 93 111 155 185 186 222 279 310 333 370 465 555 558 666 930 1110 1147 1395 1665 2294 2790 3330 3441 5735 6882 10323 10531 11470 17205 20646 21062 31593 34410 51615 52655 63186 94779 103230 105310 157965 189558 315930 326461 389647 473895 652922 779294 947790 979383 1168941 1632305 1948235 1958766 2337882 2938149 3264610 3506823 3896470 4896915 5844705 5876298 7013646 9793830 11689410 12079057 14690745 17534115 24158114 29381490 35068230 36237171 60395285 72474342 108711513 120790570 181185855 217423026 362371710 543557565 1087115130