[go: up one dir, main page]

Search a number
-
+
1545132132 = 2233312391931
BaseRepresentation
bin101110000011000…
…1101100001100100
310222200102211211000
41130012031201210
511131023212012
6413153313300
753201256255
oct13406154144
93880384730
101545132132
11723206705
12371565830
131b8164a8b
141092d0b2c
15909b1ddc
hex5c18d864

1545132132 has 96 divisors (see below), whose sum is σ = 4154572800. Its totient is φ = 496087200.

The previous prime is 1545132131. The next prime is 1545132137. The reversal of 1545132132 is 2312315451.

1545132132 is a `hidden beast` number, since 15 + 4 + 513 + 2 + 132 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1545132096 and 1545132105.

It is not an unprimeable number, because it can be changed into a prime (1545132131) 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 31 ways as a sum of consecutive naturals, for example, 799207 + ... + 801137.

It is an arithmetic number, because the mean of its divisors is an integer number (43276800).

Almost surely, 21545132132 is an apocalyptic number.

1545132132 is a gapful number since it is divisible by the number (12) 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 1545132132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077286400).

1545132132 is an abundant number, since it is smaller than the sum of its proper divisors (2609440668).

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

1545132132 is a wasteful number, since it uses less digits than its factorization.

1545132132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2206 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 1545132132 is about 39308.1687693538. The cubic root of 1545132132 is about 1156.0817391307.

Adding to 1545132132 its reverse (2312315451), we get a palindrome (3857447583).

The spelling of 1545132132 in words is "one billion, five hundred forty-five million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 239 279 372 478 558 717 837 956 1116 1434 1674 1931 2151 2868 3348 3862 4302 5793 6453 7409 7724 8604 11586 12906 14818 17379 22227 23172 25812 29636 34758 44454 52137 59861 66681 69516 88908 104274 119722 133362 179583 200043 208548 239444 266724 359166 400086 461509 538749 718332 800172 923018 1077498 1384527 1616247 1846036 2154996 2769054 3232494 4153581 5538108 6464988 8307162 12460743 14306779 16614324 24921486 28613558 42920337 49842972 57227116 85840674 128761011 171681348 257522022 386283033 515044044 772566066 1545132132