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1151552106 = 2331011991061
BaseRepresentation
bin100010010100011…
…0100101001101010
32222020211220112000
41010220310221222
54324244131411
6310133431430
740352013525
oct10450645152
92866756460
101151552106
11541026161
1228179b576
131547606a3
14acd1bbbc
156b16a956
hex44a34a6a

1151552106 has 64 divisors (see below), whose sum is σ = 2599776000. Its totient is φ = 377784000.

The previous prime is 1151552099. The next prime is 1151552113. The reversal of 1151552106 is 6012551511.

1151552106 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 552 + 106 = 666.

It is an interprime number because it is at equal distance from previous prime (1151552099) and next prime (1151552113).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1151552106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1084816 + ... + 1085876.

It is an arithmetic number, because the mean of its divisors is an integer number (40621500).

Almost surely, 21151552106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1151552106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299888000).

1151552106 is an abundant number, since it is smaller than the sum of its proper divisors (1448223894).

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

1151552106 is a wasteful number, since it uses less digits than its factorization.

1151552106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

The square root of 1151552106 is about 33934.5267537356. The cubic root of 1151552106 is about 1048.1606819308.

The spelling of 1151552106 in words is "one billion, one hundred fifty-one million, five hundred fifty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 101 199 202 303 398 597 606 909 1061 1194 1791 1818 2122 2727 3183 3582 5373 5454 6366 9549 10746 19098 20099 28647 40198 57294 60297 107161 120594 180891 211139 214322 321483 361782 422278 542673 633417 642966 964449 1085346 1266834 1900251 1928898 2893347 3800502 5700753 5786694 11401506 21325039 42650078 63975117 127950234 191925351 383850702 575776053 1151552106