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1086202242 = 232314783499
BaseRepresentation
bin100000010111110…
…0010000110000010
32210200212210100200
41000233202012002
54211031432432
6255441030030
735626365246
oct10057420602
92720783320
101086202242
11508150904
12263925316
1314405c628
14a438a426
156555ca7c
hex40be2182

1086202242 has 96 divisors (see below), whose sum is σ = 2515968000. Its totient is φ = 338122080.

The previous prime is 1086202219. The next prime is 1086202253. The reversal of 1086202242 is 2422026801.

It is a happy number.

1086202242 is a `hidden beast` number, since 10 + 8 + 620 + 2 + 24 + 2 = 666.

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, 2176509 + ... + 2177007.

It is an arithmetic number, because the mean of its divisors is an integer number (26208000).

Almost surely, 21086202242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1086202242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257984000).

1086202242 is an abundant number, since it is smaller than the sum of its proper divisors (1429765758).

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

1086202242 is a wasteful number, since it uses less digits than its factorization.

1086202242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1086202242 is about 32957.5824659516. The cubic root of 1086202242 is about 1027.9458359679.

The spelling of 1086202242 in words is "one billion, eighty-six million, two hundred two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 31 47 62 83 93 94 141 166 186 249 279 282 423 498 499 558 747 846 998 1457 1494 1497 2573 2914 2994 3901 4371 4491 5146 7719 7802 8742 8982 11703 13113 15438 15469 23157 23406 23453 26226 30938 35109 41417 46314 46407 46906 70218 70359 82834 92814 120931 124251 139221 140718 211077 241862 248502 278442 362793 372753 422154 725586 727043 745506 1088379 1283927 1454086 1946599 2176758 2181129 2567854 3851781 3893198 4362258 5839797 6543387 7703562 11555343 11679594 13086774 17519391 23110686 35038782 60344569 120689138 181033707 362067414 543101121 1086202242