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1146668190 = 235172132257
BaseRepresentation
bin100010001011000…
…1100010010011110
32221220122210001020
41010112030102132
54322021340230
6305441025010
740262342643
oct10426142236
92856583036
101146668190
1153929a868
12280025166
131537406b5
14ac409dca
156aa03810
hex4458c49e

1146668190 has 48 divisors (see below), whose sum is σ = 2923430832. Its totient is φ = 287789056.

The previous prime is 1146668189. The next prime is 1146668191. The reversal of 1146668190 is 918666411.

It is an interprime number because it is at equal distance from previous prime (1146668189) and next prime (1146668191).

It is a super-2 number, since 2×11466681902 = 2629695875915752200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146668191) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 57459 + ... + 74798.

It is an arithmetic number, because the mean of its divisors is an integer number (60904809).

Almost surely, 21146668190 is an apocalyptic number.

1146668190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1146668190 is an abundant number, since it is smaller than the sum of its proper divisors (1776762642).

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

1146668190 is a wasteful number, since it uses less digits than its factorization.

1146668190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132301 (or 132284 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 1146668190 is about 33862.4894241401. The cubic root of 1146668190 is about 1046.6767766253.

The spelling of 1146668190 in words is "one billion, one hundred forty-six million, six hundred sixty-eight thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 289 510 578 867 1445 1734 2890 4335 8670 132257 264514 396771 661285 793542 1322570 1983855 2248369 3967710 4496738 6745107 11241845 13490214 22483690 33725535 38222273 67451070 76444546 114666819 191111365 229333638 382222730 573334095 1146668190