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2134549032 = 2337117914621
BaseRepresentation
bin111111100111010…
…1010001000101000
312111202112022210120
41333032222020220
513332421032112
6551450443240
7103616240010
oct17716521050
95452468716
102134549032
119a5996310
124b6a33520
132802c6585
141636c0c40
15c75dde8c
hex7f3aa228

2134549032 has 128 divisors (see below), whose sum is σ = 6737817600. Its totient is φ = 547372800.

The previous prime is 2134548979. The next prime is 2134549037. The reversal of 2134549032 is 2309454312.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2134548984 and 2134549002.

It is not an unprimeable number, because it can be changed into a prime (2134549037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138682 + ... + 153302.

It is an arithmetic number, because the mean of its divisors is an integer number (52639200).

Almost surely, 22134549032 is an apocalyptic number.

2134549032 is a gapful number since it is divisible by the number (22) 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 2134549032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368908800).

2134549032 is an abundant number, since it is smaller than the sum of its proper divisors (4603268568).

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

2134549032 is a wasteful number, since it uses less digits than its factorization.

2134549032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14727 (or 14723 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 2134549032 is about 46201.1799849311. The cubic root of 2134549032 is about 1287.5636630725.

The spelling of 2134549032 in words is "two billion, one hundred thirty-four million, five hundred forty-nine thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 79 84 88 132 154 158 168 231 237 264 308 316 462 474 553 616 632 869 924 948 1106 1659 1738 1848 1896 2212 2607 3318 3476 4424 5214 6083 6636 6952 10428 12166 13272 14621 18249 20856 24332 29242 36498 43863 48664 58484 72996 87726 102347 116968 145992 160831 175452 204694 307041 321662 350904 409388 482493 614082 643324 818776 964986 1125817 1155059 1228164 1286648 1929972 2251634 2310118 2456328 3377451 3465177 3859944 4503268 4620236 6754902 6930354 8085413 9006536 9240472 12705649 13509804 13860708 16170826 24256239 25411298 27019608 27721416 32341652 38116947 48512478 50822596 64683304 76233894 88939543 97024956 101645192 152467788 177879086 194049912 266818629 304935576 355758172 533637258 711516344 1067274516 2134549032