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1132461930 = 235315920639
BaseRepresentation
bin100001101111111…
…1111111101101010
32220220221000201110
41003133333331222
54304402240210
6304212331150
740030524165
oct10337777552
92826830643
101132461930
11531277456
12277313ab6
13150808422
14aa58cadc
1569649420
hex437fff6a

1132461930 has 64 divisors (see below), whose sum is σ = 2853273600. Its totient is φ = 287280960.

The previous prime is 1132461893. The next prime is 1132461947. The reversal of 1132461930 is 391642311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44551 + ... + 65189.

It is an arithmetic number, because the mean of its divisors is an integer number (44582400).

Almost surely, 21132461930 is an apocalyptic number.

1132461930 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 1132461930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426636800).

1132461930 is an abundant number, since it is smaller than the sum of its proper divisors (1720811670).

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

1132461930 is a wasteful number, since it uses less digits than its factorization.

1132461930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20739.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1132461930 is about 33652.0717044285. The cubic root of 1132461930 is about 1042.3363187516.

The spelling of 1132461930 in words is "one billion, one hundred thirty-two million, four hundred sixty-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 59 62 93 118 155 177 186 295 310 354 465 590 885 930 1770 1829 3658 5487 9145 10974 18290 20639 27435 41278 54870 61917 103195 123834 206390 309585 619170 639809 1217701 1279618 1919427 2435402 3199045 3653103 3838854 6088505 6398090 7306206 9597135 12177010 18265515 19194270 36531030 37748731 75497462 113246193 188743655 226492386 377487310 566230965 1132461930