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1086135500 = 225361149239
BaseRepresentation
bin100000010111101…
…0001110011001100
32210200202101210202
41000233101303030
54211022314000
6255435353032
735625666542
oct10057216314
92720671722
101086135500
1150810574a
122638b2778
13144038138
14a436dd92
1565547dd5
hex40bd1ccc

1086135500 has 96 divisors (see below), whose sum is σ = 2437344000. Its totient is φ = 422688000.

The previous prime is 1086135497. The next prime is 1086135503. The reversal of 1086135500 is 55316801.

It is an interprime number because it is at equal distance from previous prime (1086135497) and next prime (1086135503).

It is not an unprimeable number, because it can be changed into a prime (1086135503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4544381 + ... + 4544619.

It is an arithmetic number, because the mean of its divisors is an integer number (25389000).

Almost surely, 21086135500 is an apocalyptic number.

1086135500 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 1086135500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218672000).

1086135500 is an abundant number, since it is smaller than the sum of its proper divisors (1351208500).

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

1086135500 is a wasteful number, since it uses less digits than its factorization.

1086135500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 1086135500 is about 32956.5699064693. The cubic root of 1086135500 is about 1027.9247813970.

The spelling of 1086135500 in words is "one billion, eighty-six million, one hundred thirty-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 125 149 239 244 250 298 305 478 500 596 610 745 956 1195 1220 1490 1525 2390 2980 3050 3725 4780 5975 6100 7450 7625 9089 11950 14579 14900 15250 18178 18625 23900 29158 29875 30500 35611 36356 37250 45445 58316 59750 71222 72895 74500 90890 119500 142444 145790 178055 181780 227225 291580 356110 364475 454450 712220 728950 890275 908900 1136125 1457900 1780550 1822375 2172271 2272250 3561100 3644750 4344542 4451375 4544500 7289500 8689084 8902750 10861355 17805500 21722710 43445420 54306775 108613550 217227100 271533875 543067750 1086135500