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1146552040 = 23583367941
BaseRepresentation
bin100010001010110…
…1111111011101000
32221220102212201101
41010111233323220
54322004131130
6305434331144
740261350214
oct10425577350
92856385641
101146552040
11539220577
1227bb89ab4
131536cc87a
14ac3b9944
156a9ce1ca
hex4456fee8

1146552040 has 64 divisors (see below), whose sum is σ = 2620719360. Its totient is φ = 451380480.

The previous prime is 1146552037. The next prime is 1146552073. The reversal of 1146552040 is 402556411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1217970 + ... + 1218910.

It is an arithmetic number, because the mean of its divisors is an integer number (40948740).

Almost surely, 21146552040 is an apocalyptic number.

1146552040 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 1146552040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310359680).

1146552040 is an abundant number, since it is smaller than the sum of its proper divisors (1474167320).

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

1146552040 is a wasteful number, since it uses less digits than its factorization.

1146552040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 1146552040 is about 33860.7743561780. The cubic root of 1146552040 is about 1046.6414349244.

The spelling of 1146552040 in words is "one billion, one hundred forty-six million, five hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 367 415 664 734 830 941 1468 1660 1835 1882 2936 3320 3670 3764 4705 7340 7528 9410 14680 18820 30461 37640 60922 78103 121844 152305 156206 243688 304610 312412 345347 390515 609220 624824 690694 781030 1218440 1381388 1562060 1726735 2762776 3124120 3453470 6906940 13813880 28663801 57327602 114655204 143319005 229310408 286638010 573276020 1146552040